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Finding the Fourth Proportional to 632.32, 947.66 and 546.20

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Solution

The fourth proportional to 632.32, 947.66 and 546.20 is: 818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.32 : 947.66 = 546.20 : x
  2. Step 2: Convert to fraction form
    632.32/947.66 = 546.20/x
  3. Step 3: Cross multiply
    632.32x = 947.66 × 546.20
  4. Step 4: Simplify right side
    632.32x = 517,611.89
  5. Step 5: Solve for x
    x = 517,611.89/632.32
  6. Step 6: Final answer
    x = 818.59

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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.