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Finding the Fourth Proportional to 488.01, 732.07 and 141.35

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Solution

The fourth proportional to 488.01, 732.07 and 141.35 is: 212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.01 : 732.07 = 141.35 : x
  2. Step 2: Convert to fraction form
    488.01/732.07 = 141.35/x
  3. Step 3: Cross multiply
    488.01x = 732.07 × 141.35
  4. Step 4: Simplify right side
    488.01x = 103,474.61
  5. Step 5: Solve for x
    x = 103,474.61/488.01
  6. Step 6: Final answer
    x = 212.03

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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.