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Finding the Fourth Proportional to 633.74, 874.98 and 397.78

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Solution

The fourth proportional to 633.74, 874.98 and 397.78 is: 549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.74 : 874.98 = 397.78 : x
  2. Step 2: Convert to fraction form
    633.74/874.98 = 397.78/x
  3. Step 3: Cross multiply
    633.74x = 874.98 × 397.78
  4. Step 4: Simplify right side
    633.74x = 348,049.54
  5. Step 5: Solve for x
    x = 348,049.54/633.74
  6. Step 6: Final answer
    x = 549.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.