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Finding the Fourth Proportional to 916.76, 1,375.10 and 331.76

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Solution

The fourth proportional to 916.76, 1,375.10 and 331.76 is: 497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.76 : 1,375.10 = 331.76 : x
  2. Step 2: Convert to fraction form
    916.76/1,375.10 = 331.76/x
  3. Step 3: Cross multiply
    916.76x = 1,375.10 × 331.76
  4. Step 4: Simplify right side
    916.76x = 456,203.18
  5. Step 5: Solve for x
    x = 456,203.18/916.76
  6. Step 6: Final answer
    x = 497.63

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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.