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Finding the Fourth Proportional to 486.16, 724.25 and 462.94

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Solution

The fourth proportional to 486.16, 724.25 and 462.94 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 724.25 = 462.94 : x
  2. Step 2: Convert to fraction form
    486.16/724.25 = 462.94/x
  3. Step 3: Cross multiply
    486.16x = 724.25 × 462.94
  4. Step 4: Simplify right side
    486.16x = 335,283.64
  5. Step 5: Solve for x
    x = 335,283.64/486.16
  6. Step 6: Final answer
    x = 689.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.