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Finding the Fourth Proportional to 674.24, 1,011.72 and 385.76

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Solution

The fourth proportional to 674.24, 1,011.72 and 385.76 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.24 : 1,011.72 = 385.76 : x
  2. Step 2: Convert to fraction form
    674.24/1,011.72 = 385.76/x
  3. Step 3: Cross multiply
    674.24x = 1,011.72 × 385.76
  4. Step 4: Simplify right side
    674.24x = 390,281.11
  5. Step 5: Solve for x
    x = 390,281.11/674.24
  6. Step 6: Final answer
    x = 578.85

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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.