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Finding the Fourth Proportional to 642.83, 964.92 and 460.58

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Solution

The fourth proportional to 642.83, 964.92 and 460.58 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 964.92 = 460.58 : x
  2. Step 2: Convert to fraction form
    642.83/964.92 = 460.58/x
  3. Step 3: Cross multiply
    642.83x = 964.92 × 460.58
  4. Step 4: Simplify right side
    642.83x = 444,422.85
  5. Step 5: Solve for x
    x = 444,422.85/642.83
  6. Step 6: Final answer
    x = 691.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.