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Finding the Fourth Proportional to 632.15, 947.35 and 323.34

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Solution

The fourth proportional to 632.15, 947.35 and 323.34 is: 484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.15 : 947.35 = 323.34 : x
  2. Step 2: Convert to fraction form
    632.15/947.35 = 323.34/x
  3. Step 3: Cross multiply
    632.15x = 947.35 × 323.34
  4. Step 4: Simplify right side
    632.15x = 306,314.53
  5. Step 5: Solve for x
    x = 306,314.53/632.15
  6. Step 6: Final answer
    x = 484.56

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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.