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Finding the Fourth Proportional to 714.01, 985.03 and 415.23

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Solution

The fourth proportional to 714.01, 985.03 and 415.23 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.01 : 985.03 = 415.23 : x
  2. Step 2: Convert to fraction form
    714.01/985.03 = 415.23/x
  3. Step 3: Cross multiply
    714.01x = 985.03 × 415.23
  4. Step 4: Simplify right side
    714.01x = 409,017.59
  5. Step 5: Solve for x
    x = 409,017.59/714.01
  6. Step 6: Final answer
    x = 572.85

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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.