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Finding the Fourth Proportional to 500.56, 749.88 and 283.48

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Solution

The fourth proportional to 500.56, 749.88 and 283.48 is: 424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.56 : 749.88 = 283.48 : x
  2. Step 2: Convert to fraction form
    500.56/749.88 = 283.48/x
  3. Step 3: Cross multiply
    500.56x = 749.88 × 283.48
  4. Step 4: Simplify right side
    500.56x = 212,575.98
  5. Step 5: Solve for x
    x = 212,575.98/500.56
  6. Step 6: Final answer
    x = 424.68

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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.