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Finding the Fourth Proportional to 500.53, 752.16 and 269.59

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Solution

The fourth proportional to 500.53, 752.16 and 269.59 is: 405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.53 : 752.16 = 269.59 : x
  2. Step 2: Convert to fraction form
    500.53/752.16 = 269.59/x
  3. Step 3: Cross multiply
    500.53x = 752.16 × 269.59
  4. Step 4: Simplify right side
    500.53x = 202,774.81
  5. Step 5: Solve for x
    x = 202,774.81/500.53
  6. Step 6: Final answer
    x = 405.12

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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.