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Finding the Fourth Proportional to 633.52, 874.37 and 409.73

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Solution

The fourth proportional to 633.52, 874.37 and 409.73 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.52 : 874.37 = 409.73 : x
  2. Step 2: Convert to fraction form
    633.52/874.37 = 409.73/x
  3. Step 3: Cross multiply
    633.52x = 874.37 × 409.73
  4. Step 4: Simplify right side
    633.52x = 358,258.83
  5. Step 5: Solve for x
    x = 358,258.83/633.52
  6. Step 6: Final answer
    x = 565.50

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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.