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Finding the Fourth Proportional to 632.34, 872.06 and 411.20

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Solution

The fourth proportional to 632.34, 872.06 and 411.20 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.34 : 872.06 = 411.20 : x
  2. Step 2: Convert to fraction form
    632.34/872.06 = 411.20/x
  3. Step 3: Cross multiply
    632.34x = 872.06 × 411.20
  4. Step 4: Simplify right side
    632.34x = 358,591.07
  5. Step 5: Solve for x
    x = 358,591.07/632.34
  6. Step 6: Final answer
    x = 567.09

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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.