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Finding the Fourth Proportional to 714.06, 985.14 and 434.16

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Solution

The fourth proportional to 714.06, 985.14 and 434.16 is: 598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 985.14 = 434.16 : x
  2. Step 2: Convert to fraction form
    714.06/985.14 = 434.16/x
  3. Step 3: Cross multiply
    714.06x = 985.14 × 434.16
  4. Step 4: Simplify right side
    714.06x = 427,708.38
  5. Step 5: Solve for x
    x = 427,708.38/714.06
  6. Step 6: Final answer
    x = 598.98

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.