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Finding the Fourth Proportional to 632.14, 948.39 and 458.98

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Solution

The fourth proportional to 632.14, 948.39 and 458.98 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.14 : 948.39 = 458.98 : x
  2. Step 2: Convert to fraction form
    632.14/948.39 = 458.98/x
  3. Step 3: Cross multiply
    632.14x = 948.39 × 458.98
  4. Step 4: Simplify right side
    632.14x = 435,292.04
  5. Step 5: Solve for x
    x = 435,292.04/632.14
  6. Step 6: Final answer
    x = 688.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.