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Finding the Fourth Proportional to 713.66, 985.02 and 464.55

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Solution

The fourth proportional to 713.66, 985.02 and 464.55 is: 641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 985.02 = 464.55 : x
  2. Step 2: Convert to fraction form
    713.66/985.02 = 464.55/x
  3. Step 3: Cross multiply
    713.66x = 985.02 × 464.55
  4. Step 4: Simplify right side
    713.66x = 457,585.61
  5. Step 5: Solve for x
    x = 457,585.61/713.66
  6. Step 6: Final answer
    x = 641.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.