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Finding the Fourth Proportional to 676.18, 932.80 and 440.16

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Solution

The fourth proportional to 676.18, 932.80 and 440.16 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.18 : 932.80 = 440.16 : x
  2. Step 2: Convert to fraction form
    676.18/932.80 = 440.16/x
  3. Step 3: Cross multiply
    676.18x = 932.80 × 440.16
  4. Step 4: Simplify right side
    676.18x = 410,581.25
  5. Step 5: Solve for x
    x = 410,581.25/676.18
  6. Step 6: Final answer
    x = 607.21

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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.