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Finding the Fourth Proportional to 634.93, 876.28 and 458.14

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Solution

The fourth proportional to 634.93, 876.28 and 458.14 is: 632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.93 : 876.28 = 458.14 : x
  2. Step 2: Convert to fraction form
    634.93/876.28 = 458.14/x
  3. Step 3: Cross multiply
    634.93x = 876.28 × 458.14
  4. Step 4: Simplify right side
    634.93x = 401,458.92
  5. Step 5: Solve for x
    x = 401,458.92/634.93
  6. Step 6: Final answer
    x = 632.29

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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.