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Finding the Fourth Proportional to 500.52, 752.16 and 269.58

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Solution

The fourth proportional to 500.52, 752.16 and 269.58 is: 405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 752.16 = 269.58 : x
  2. Step 2: Convert to fraction form
    500.52/752.16 = 269.58/x
  3. Step 3: Cross multiply
    500.52x = 752.16 × 269.58
  4. Step 4: Simplify right side
    500.52x = 202,767.29
  5. Step 5: Solve for x
    x = 202,767.29/500.52
  6. Step 6: Final answer
    x = 405.11

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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.