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Finding the Fourth Proportional to 502.60, 752.44 and 348.16

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Solution

The fourth proportional to 502.60, 752.44 and 348.16 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 752.44 = 348.16 : x
  2. Step 2: Convert to fraction form
    502.60/752.44 = 348.16/x
  3. Step 3: Cross multiply
    502.60x = 752.44 × 348.16
  4. Step 4: Simplify right side
    502.60x = 261,969.51
  5. Step 5: Solve for x
    x = 261,969.51/502.60
  6. Step 6: Final answer
    x = 521.23

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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.