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Finding the Fourth Proportional to 415.26, 572.94 and 282.42

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Solution

The fourth proportional to 415.26, 572.94 and 282.42 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 572.94 = 282.42 : x
  2. Step 2: Convert to fraction form
    415.26/572.94 = 282.42/x
  3. Step 3: Cross multiply
    415.26x = 572.94 × 282.42
  4. Step 4: Simplify right side
    415.26x = 161,809.71
  5. Step 5: Solve for x
    x = 161,809.71/415.26
  6. Step 6: Final answer
    x = 389.66

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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.