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Finding the Fourth Proportional to 714.09, 985.75 and 434.42

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Solution

The fourth proportional to 714.09, 985.75 and 434.42 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.09 : 985.75 = 434.42 : x
  2. Step 2: Convert to fraction form
    714.09/985.75 = 434.42/x
  3. Step 3: Cross multiply
    714.09x = 985.75 × 434.42
  4. Step 4: Simplify right side
    714.09x = 428,223.50
  5. Step 5: Solve for x
    x = 428,223.50/714.09
  6. Step 6: Final answer
    x = 599.68

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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.