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Finding the Fourth Proportional to 677.76, 1,016.64 and 353.28

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Solution

The fourth proportional to 677.76, 1,016.64 and 353.28 is: 529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 1,016.64 = 353.28 : x
  2. Step 2: Convert to fraction form
    677.76/1,016.64 = 353.28/x
  3. Step 3: Cross multiply
    677.76x = 1,016.64 × 353.28
  4. Step 4: Simplify right side
    677.76x = 359,158.58
  5. Step 5: Solve for x
    x = 359,158.58/677.76
  6. Step 6: Final answer
    x = 529.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.