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Finding the Fourth Proportional to 632.15, 947.61 and 466.91

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Solution

The fourth proportional to 632.15, 947.61 and 466.91 is: 699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.15 : 947.61 = 466.91 : x
  2. Step 2: Convert to fraction form
    632.15/947.61 = 466.91/x
  3. Step 3: Cross multiply
    632.15x = 947.61 × 466.91
  4. Step 4: Simplify right side
    632.15x = 442,443.85
  5. Step 5: Solve for x
    x = 442,443.85/632.15
  6. Step 6: Final answer
    x = 699.91

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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.