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Finding the Fourth Proportional to 410.93, 567.07 and 224.42

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Solution

The fourth proportional to 410.93, 567.07 and 224.42 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 567.07 = 224.42 : x
  2. Step 2: Convert to fraction form
    410.93/567.07 = 224.42/x
  3. Step 3: Cross multiply
    410.93x = 567.07 × 224.42
  4. Step 4: Simplify right side
    410.93x = 127,260.58
  5. Step 5: Solve for x
    x = 127,260.58/410.93
  6. Step 6: Final answer
    x = 309.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.