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Finding the Fourth Proportional to 645.16, 967.92 and 458.32

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Solution

The fourth proportional to 645.16, 967.92 and 458.32 is: 687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.16 : 967.92 = 458.32 : x
  2. Step 2: Convert to fraction form
    645.16/967.92 = 458.32/x
  3. Step 3: Cross multiply
    645.16x = 967.92 × 458.32
  4. Step 4: Simplify right side
    645.16x = 443,617.09
  5. Step 5: Solve for x
    x = 443,617.09/645.16
  6. Step 6: Final answer
    x = 687.61

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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.