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Finding the Fourth Proportional to 488.13, 731.13 and 342.60

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Solution

The fourth proportional to 488.13, 731.13 and 342.60 is: 513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.13 : 731.13 = 342.60 : x
  2. Step 2: Convert to fraction form
    488.13/731.13 = 342.60/x
  3. Step 3: Cross multiply
    488.13x = 731.13 × 342.60
  4. Step 4: Simplify right side
    488.13x = 250,485.14
  5. Step 5: Solve for x
    x = 250,485.14/488.13
  6. Step 6: Final answer
    x = 513.15

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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.