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Finding the Fourth Proportional to 415.49, 572.99 and 282.65

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Solution

The fourth proportional to 415.49, 572.99 and 282.65 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.49 : 572.99 = 282.65 : x
  2. Step 2: Convert to fraction form
    415.49/572.99 = 282.65/x
  3. Step 3: Cross multiply
    415.49x = 572.99 × 282.65
  4. Step 4: Simplify right side
    415.49x = 161,952.94
  5. Step 5: Solve for x
    x = 161,952.94/415.49
  6. Step 6: Final answer
    x = 389.79

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