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Finding the Fourth Proportional to 342.52, 473.12 and 255.58

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Solution

The fourth proportional to 342.52, 473.12 and 255.58 is: 353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.52 : 473.12 = 255.58 : x
  2. Step 2: Convert to fraction form
    342.52/473.12 = 255.58/x
  3. Step 3: Cross multiply
    342.52x = 473.12 × 255.58
  4. Step 4: Simplify right side
    342.52x = 120,920.01
  5. Step 5: Solve for x
    x = 120,920.01/342.52
  6. Step 6: Final answer
    x = 353.03

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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.