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Finding the Fourth Proportional to 633.47, 874.08 and 353.66

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Solution

The fourth proportional to 633.47, 874.08 and 353.66 is: 487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.47 : 874.08 = 353.66 : x
  2. Step 2: Convert to fraction form
    633.47/874.08 = 353.66/x
  3. Step 3: Cross multiply
    633.47x = 874.08 × 353.66
  4. Step 4: Simplify right side
    633.47x = 309,122.76
  5. Step 5: Solve for x
    x = 309,122.76/633.47
  6. Step 6: Final answer
    x = 487.99

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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.