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Finding the Fourth Proportional to 488.38, 732.36 and 141.64

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Solution

The fourth proportional to 488.38, 732.36 and 141.64 is: 212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.38 : 732.36 = 141.64 : x
  2. Step 2: Convert to fraction form
    488.38/732.36 = 141.64/x
  3. Step 3: Cross multiply
    488.38x = 732.36 × 141.64
  4. Step 4: Simplify right side
    488.38x = 103,731.47
  5. Step 5: Solve for x
    x = 103,731.47/488.38
  6. Step 6: Final answer
    x = 212.40

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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.