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Finding the Fourth Proportional to 345.28, 476.52 and 257.80

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Solution

The fourth proportional to 345.28, 476.52 and 257.80 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.28 : 476.52 = 257.80 : x
  2. Step 2: Convert to fraction form
    345.28/476.52 = 257.80/x
  3. Step 3: Cross multiply
    345.28x = 476.52 × 257.80
  4. Step 4: Simplify right side
    345.28x = 122,846.86
  5. Step 5: Solve for x
    x = 122,846.86/345.28
  6. Step 6: Final answer
    x = 355.79

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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.