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Finding the Fourth Proportional to 677.57, 1,016.14 and 352.76

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Solution

The fourth proportional to 677.57, 1,016.14 and 352.76 is: 529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.57 : 1,016.14 = 352.76 : x
  2. Step 2: Convert to fraction form
    677.57/1,016.14 = 352.76/x
  3. Step 3: Cross multiply
    677.57x = 1,016.14 × 352.76
  4. Step 4: Simplify right side
    677.57x = 358,446.70
  5. Step 5: Solve for x
    x = 358,446.70/677.57
  6. Step 6: Final answer
    x = 529.02

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