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Finding the Fourth Proportional to 632.07, 947.90 and 266.63

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Solution

The fourth proportional to 632.07, 947.90 and 266.63 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 947.90 = 266.63 : x
  2. Step 2: Convert to fraction form
    632.07/947.90 = 266.63/x
  3. Step 3: Cross multiply
    632.07x = 947.90 × 266.63
  4. Step 4: Simplify right side
    632.07x = 252,734.50
  5. Step 5: Solve for x
    x = 252,734.50/632.07
  6. Step 6: Final answer
    x = 399.85

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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.