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Finding the Fourth Proportional to 410.88, 567.01 and 226.88

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Solution

The fourth proportional to 410.88, 567.01 and 226.88 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 567.01 = 226.88 : x
  2. Step 2: Convert to fraction form
    410.88/567.01 = 226.88/x
  3. Step 3: Cross multiply
    410.88x = 567.01 × 226.88
  4. Step 4: Simplify right side
    410.88x = 128,643.23
  5. Step 5: Solve for x
    x = 128,643.23/410.88
  6. Step 6: Final answer
    x = 313.09

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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.