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Finding the Fourth Proportional to 632.27, 948.00 and 266.96

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Solution

The fourth proportional to 632.27, 948.00 and 266.96 is: 400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.27 : 948.00 = 266.96 : x
  2. Step 2: Convert to fraction form
    632.27/948.00 = 266.96/x
  3. Step 3: Cross multiply
    632.27x = 948.00 × 266.96
  4. Step 4: Simplify right side
    632.27x = 253,075.89
  5. Step 5: Solve for x
    x = 253,075.89/632.27
  6. Step 6: Final answer
    x = 400.27

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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.