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Finding the Fourth Proportional to 642.92, 886.06 and 467.96

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Solution

The fourth proportional to 642.92, 886.06 and 467.96 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.92 : 886.06 = 467.96 : x
  2. Step 2: Convert to fraction form
    642.92/886.06 = 467.96/x
  3. Step 3: Cross multiply
    642.92x = 886.06 × 467.96
  4. Step 4: Simplify right side
    642.92x = 414,640.64
  5. Step 5: Solve for x
    x = 414,640.64/642.92
  6. Step 6: Final answer
    x = 644.93

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