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Finding the Fourth Proportional to 345.24, 476.82 and 268.20

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Solution

The fourth proportional to 345.24, 476.82 and 268.20 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.24 : 476.82 = 268.20 : x
  2. Step 2: Convert to fraction form
    345.24/476.82 = 268.20/x
  3. Step 3: Cross multiply
    345.24x = 476.82 × 268.20
  4. Step 4: Simplify right side
    345.24x = 127,883.12
  5. Step 5: Solve for x
    x = 127,883.12/345.24
  6. Step 6: Final answer
    x = 370.42

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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.