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Finding the Fourth Proportional to 632.95, 947.37 and 447.97

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Solution

The fourth proportional to 632.95, 947.37 and 447.97 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.95 : 947.37 = 447.97 : x
  2. Step 2: Convert to fraction form
    632.95/947.37 = 447.97/x
  3. Step 3: Cross multiply
    632.95x = 947.37 × 447.97
  4. Step 4: Simplify right side
    632.95x = 424,393.34
  5. Step 5: Solve for x
    x = 424,393.34/632.95
  6. Step 6: Final answer
    x = 670.50

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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.