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Finding the Fourth Proportional to 415.30, 573.09 and 257.90

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Solution

The fourth proportional to 415.30, 573.09 and 257.90 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.30 : 573.09 = 257.90 : x
  2. Step 2: Convert to fraction form
    415.30/573.09 = 257.90/x
  3. Step 3: Cross multiply
    415.30x = 573.09 × 257.90
  4. Step 4: Simplify right side
    415.30x = 147,799.91
  5. Step 5: Solve for x
    x = 147,799.91/415.30
  6. Step 6: Final answer
    x = 355.89

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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.