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Finding the Fourth Proportional to 482.15, 724.11 and 462.58

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Solution

The fourth proportional to 482.15, 724.11 and 462.58 is: 694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 724.11 = 462.58 : x
  2. Step 2: Convert to fraction form
    482.15/724.11 = 462.58/x
  3. Step 3: Cross multiply
    482.15x = 724.11 × 462.58
  4. Step 4: Simplify right side
    482.15x = 334,955.26
  5. Step 5: Solve for x
    x = 334,955.26/482.15
  6. Step 6: Final answer
    x = 694.71

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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.