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Finding the Fourth Proportional to 500, 749.28 and 283.52

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Solution

The fourth proportional to 500, 749.28 and 283.52 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 749.28 = 283.52 : x
  2. Step 2: Convert to fraction form
    500/749.28 = 283.52/x
  3. Step 3: Cross multiply
    500x = 749.28 × 283.52
  4. Step 4: Simplify right side
    500x = 212,435.87
  5. Step 5: Solve for x
    x = 212,435.87/500
  6. Step 6: Final answer
    x = 424.87

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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.