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Finding the Fourth Proportional to 674.50, 1,011.84 and 349.78

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Solution

The fourth proportional to 674.50, 1,011.84 and 349.78 is: 524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 1,011.84 = 349.78 : x
  2. Step 2: Convert to fraction form
    674.50/1,011.84 = 349.78/x
  3. Step 3: Cross multiply
    674.50x = 1,011.84 × 349.78
  4. Step 4: Simplify right side
    674.50x = 353,921.40
  5. Step 5: Solve for x
    x = 353,921.40/674.50
  6. Step 6: Final answer
    x = 524.72

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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.