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Finding the Fourth Proportional to 675.68, 932.31 and 466.02

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Solution

The fourth proportional to 675.68, 932.31 and 466.02 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 932.31 = 466.02 : x
  2. Step 2: Convert to fraction form
    675.68/932.31 = 466.02/x
  3. Step 3: Cross multiply
    675.68x = 932.31 × 466.02
  4. Step 4: Simplify right side
    675.68x = 434,475.11
  5. Step 5: Solve for x
    x = 434,475.11/675.68
  6. Step 6: Final answer
    x = 643.02

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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.