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Finding the Fourth Proportional to 634.99, 876.32 and 414.13

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Solution

The fourth proportional to 634.99, 876.32 and 414.13 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.99 : 876.32 = 414.13 : x
  2. Step 2: Convert to fraction form
    634.99/876.32 = 414.13/x
  3. Step 3: Cross multiply
    634.99x = 876.32 × 414.13
  4. Step 4: Simplify right side
    634.99x = 362,910.40
  5. Step 5: Solve for x
    x = 362,910.40/634.99
  6. Step 6: Final answer
    x = 571.52

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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.