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Finding the Fourth Proportional to 633.82, 874.49 and 409.76

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Solution

The fourth proportional to 633.82, 874.49 and 409.76 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.82 : 874.49 = 409.76 : x
  2. Step 2: Convert to fraction form
    633.82/874.49 = 409.76/x
  3. Step 3: Cross multiply
    633.82x = 874.49 × 409.76
  4. Step 4: Simplify right side
    633.82x = 358,331.02
  5. Step 5: Solve for x
    x = 358,331.02/633.82
  6. Step 6: Final answer
    x = 565.35

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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.