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Finding the Fourth Proportional to 918.24, 1,377.12 and 268.80

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Solution

The fourth proportional to 918.24, 1,377.12 and 268.80 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.24 : 1,377.12 = 268.80 : x
  2. Step 2: Convert to fraction form
    918.24/1,377.12 = 268.80/x
  3. Step 3: Cross multiply
    918.24x = 1,377.12 × 268.80
  4. Step 4: Simplify right side
    918.24x = 370,169.86
  5. Step 5: Solve for x
    x = 370,169.86/918.24
  6. Step 6: Final answer
    x = 403.13

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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.