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Finding the Fourth Proportional to 342.14, 513.24 and 291.20

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Solution

The fourth proportional to 342.14, 513.24 and 291.20 is: 436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 513.24 = 291.20 : x
  2. Step 2: Convert to fraction form
    342.14/513.24 = 291.20/x
  3. Step 3: Cross multiply
    342.14x = 513.24 × 291.20
  4. Step 4: Simplify right side
    342.14x = 149,455.49
  5. Step 5: Solve for x
    x = 149,455.49/342.14
  6. Step 6: Final answer
    x = 436.83

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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.