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Finding the Fourth Proportional to 639.96, 880.92 and 566.16

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Solution

The fourth proportional to 639.96, 880.92 and 566.16 is: 779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.96 : 880.92 = 566.16 : x
  2. Step 2: Convert to fraction form
    639.96/880.92 = 566.16/x
  3. Step 3: Cross multiply
    639.96x = 880.92 × 566.16
  4. Step 4: Simplify right side
    639.96x = 498,741.67
  5. Step 5: Solve for x
    x = 498,741.67/639.96
  6. Step 6: Final answer
    x = 779.33

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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.