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Finding the Fourth Proportional to 634.88, 876.03 and 355.10

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Solution

The fourth proportional to 634.88, 876.03 and 355.10 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.88 : 876.03 = 355.10 : x
  2. Step 2: Convert to fraction form
    634.88/876.03 = 355.10/x
  3. Step 3: Cross multiply
    634.88x = 876.03 × 355.10
  4. Step 4: Simplify right side
    634.88x = 311,073.87
  5. Step 5: Solve for x
    x = 311,073.87/634.88
  6. Step 6: Final answer
    x = 489.98

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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.