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Finding the Fourth Proportional to 632.26, 947.73 and 458.50

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Solution

The fourth proportional to 632.26, 947.73 and 458.50 is: 687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 947.73 = 458.50 : x
  2. Step 2: Convert to fraction form
    632.26/947.73 = 458.50/x
  3. Step 3: Cross multiply
    632.26x = 947.73 × 458.50
  4. Step 4: Simplify right side
    632.26x = 434,534.21
  5. Step 5: Solve for x
    x = 434,534.21/632.26
  6. Step 6: Final answer
    x = 687.27

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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.