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Finding the Fourth Proportional to 634.98, 876.65 and 399.13

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Solution

The fourth proportional to 634.98, 876.65 and 399.13 is: 551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.98 : 876.65 = 399.13 : x
  2. Step 2: Convert to fraction form
    634.98/876.65 = 399.13/x
  3. Step 3: Cross multiply
    634.98x = 876.65 × 399.13
  4. Step 4: Simplify right side
    634.98x = 349,898.31
  5. Step 5: Solve for x
    x = 349,898.31/634.98
  6. Step 6: Final answer
    x = 551.04

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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.