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Finding the Fourth Proportional to 415.60, 573.08 and 297.52

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Solution

The fourth proportional to 415.60, 573.08 and 297.52 is: 410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.60 : 573.08 = 297.52 : x
  2. Step 2: Convert to fraction form
    415.60/573.08 = 297.52/x
  3. Step 3: Cross multiply
    415.60x = 573.08 × 297.52
  4. Step 4: Simplify right side
    415.60x = 170,502.76
  5. Step 5: Solve for x
    x = 170,502.76/415.60
  6. Step 6: Final answer
    x = 410.26

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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.