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Finding the Fourth Proportional to 632.14, 947.31 and 357.66

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Solution

The fourth proportional to 632.14, 947.31 and 357.66 is: 535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.14 : 947.31 = 357.66 : x
  2. Step 2: Convert to fraction form
    632.14/947.31 = 357.66/x
  3. Step 3: Cross multiply
    632.14x = 947.31 × 357.66
  4. Step 4: Simplify right side
    632.14x = 338,810.16
  5. Step 5: Solve for x
    x = 338,810.16/632.14
  6. Step 6: Final answer
    x = 535.97

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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.