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Finding the Fourth Proportional to 635.95, 876.90 and 411.31

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Solution

The fourth proportional to 635.95, 876.90 and 411.31 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.95 : 876.90 = 411.31 : x
  2. Step 2: Convert to fraction form
    635.95/876.90 = 411.31/x
  3. Step 3: Cross multiply
    635.95x = 876.90 × 411.31
  4. Step 4: Simplify right side
    635.95x = 360,677.74
  5. Step 5: Solve for x
    x = 360,677.74/635.95
  6. Step 6: Final answer
    x = 567.15

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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.