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Finding the Fourth Proportional to 591.42, 815.91 and 342.69

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Solution

The fourth proportional to 591.42, 815.91 and 342.69 is: 472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 815.91 = 342.69 : x
  2. Step 2: Convert to fraction form
    591.42/815.91 = 342.69/x
  3. Step 3: Cross multiply
    591.42x = 815.91 × 342.69
  4. Step 4: Simplify right side
    591.42x = 279,604.20
  5. Step 5: Solve for x
    x = 279,604.20/591.42
  6. Step 6: Final answer
    x = 472.77

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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.