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Finding the Fourth Proportional to 342.17, 512.10 and 260.54

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Solution

The fourth proportional to 342.17, 512.10 and 260.54 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.17 : 512.10 = 260.54 : x
  2. Step 2: Convert to fraction form
    342.17/512.10 = 260.54/x
  3. Step 3: Cross multiply
    342.17x = 512.10 × 260.54
  4. Step 4: Simplify right side
    342.17x = 133,419.97
  5. Step 5: Solve for x
    x = 133,419.97/342.17
  6. Step 6: Final answer
    x = 389.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.