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Finding the Fourth Proportional to 676.16, 932.96 and 442.88

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Solution

The fourth proportional to 676.16, 932.96 and 442.88 is: 611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 932.96 = 442.88 : x
  2. Step 2: Convert to fraction form
    676.16/932.96 = 442.88/x
  3. Step 3: Cross multiply
    676.16x = 932.96 × 442.88
  4. Step 4: Simplify right side
    676.16x = 413,189.32
  5. Step 5: Solve for x
    x = 413,189.32/676.16
  6. Step 6: Final answer
    x = 611.08

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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.