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Finding the Fourth Proportional to 488.67, 732.85 and 283.64

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Solution

The fourth proportional to 488.67, 732.85 and 283.64 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.67 : 732.85 = 283.64 : x
  2. Step 2: Convert to fraction form
    488.67/732.85 = 283.64/x
  3. Step 3: Cross multiply
    488.67x = 732.85 × 283.64
  4. Step 4: Simplify right side
    488.67x = 207,861.20
  5. Step 5: Solve for x
    x = 207,861.20/488.67
  6. Step 6: Final answer
    x = 425.36

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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.