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Finding the Fourth Proportional to 529.60, 794.10 and 240.68

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Solution

The fourth proportional to 529.60, 794.10 and 240.68 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 794.10 = 240.68 : x
  2. Step 2: Convert to fraction form
    529.60/794.10 = 240.68/x
  3. Step 3: Cross multiply
    529.60x = 794.10 × 240.68
  4. Step 4: Simplify right side
    529.60x = 191,123.99
  5. Step 5: Solve for x
    x = 191,123.99/529.60
  6. Step 6: Final answer
    x = 360.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.