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Finding the Fourth Proportional to 415.14, 572.55 and 297.06

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Solution

The fourth proportional to 415.14, 572.55 and 297.06 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 572.55 = 297.06 : x
  2. Step 2: Convert to fraction form
    415.14/572.55 = 297.06/x
  3. Step 3: Cross multiply
    415.14x = 572.55 × 297.06
  4. Step 4: Simplify right side
    415.14x = 170,081.70
  5. Step 5: Solve for x
    x = 170,081.70/415.14
  6. Step 6: Final answer
    x = 409.70

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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.