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Finding the Fourth Proportional to 502.57, 752.63 and 348.06

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Solution

The fourth proportional to 502.57, 752.63 and 348.06 is: 521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.57 : 752.63 = 348.06 : x
  2. Step 2: Convert to fraction form
    502.57/752.63 = 348.06/x
  3. Step 3: Cross multiply
    502.57x = 752.63 × 348.06
  4. Step 4: Simplify right side
    502.57x = 261,960.40
  5. Step 5: Solve for x
    x = 261,960.40/502.57
  6. Step 6: Final answer
    x = 521.24

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Why These Related Problems?

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