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Finding the Fourth Proportional to 502.59, 752.16 and 348.69

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Solution

The fourth proportional to 502.59, 752.16 and 348.69 is: 521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.59 : 752.16 = 348.69 : x
  2. Step 2: Convert to fraction form
    502.59/752.16 = 348.69/x
  3. Step 3: Cross multiply
    502.59x = 752.16 × 348.69
  4. Step 4: Simplify right side
    502.59x = 262,270.67
  5. Step 5: Solve for x
    x = 262,270.67/502.59
  6. Step 6: Final answer
    x = 521.84

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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.