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Finding the Fourth Proportional to 633.18, 873.72 and 411.78

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Solution

The fourth proportional to 633.18, 873.72 and 411.78 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.18 : 873.72 = 411.78 : x
  2. Step 2: Convert to fraction form
    633.18/873.72 = 411.78/x
  3. Step 3: Cross multiply
    633.18x = 873.72 × 411.78
  4. Step 4: Simplify right side
    633.18x = 359,780.42
  5. Step 5: Solve for x
    x = 359,780.42/633.18
  6. Step 6: Final answer
    x = 568.21

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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.