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Finding the Fourth Proportional to 674.76, 1,011.78 and 332.76

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Solution

The fourth proportional to 674.76, 1,011.78 and 332.76 is: 498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 1,011.78 = 332.76 : x
  2. Step 2: Convert to fraction form
    674.76/1,011.78 = 332.76/x
  3. Step 3: Cross multiply
    674.76x = 1,011.78 × 332.76
  4. Step 4: Simplify right side
    674.76x = 336,679.91
  5. Step 5: Solve for x
    x = 336,679.91/674.76
  6. Step 6: Final answer
    x = 498.96

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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.