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Finding the Fourth Proportional to 676.80, 932.64 and 479.76

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Solution

The fourth proportional to 676.80, 932.64 and 479.76 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 932.64 = 479.76 : x
  2. Step 2: Convert to fraction form
    676.80/932.64 = 479.76/x
  3. Step 3: Cross multiply
    676.80x = 932.64 × 479.76
  4. Step 4: Simplify right side
    676.80x = 447,443.37
  5. Step 5: Solve for x
    x = 447,443.37/676.80
  6. Step 6: Final answer
    x = 661.12

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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.