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Finding the Fourth Proportional to 591.12, 815.66 and 342.42

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Solution

The fourth proportional to 591.12, 815.66 and 342.42 is: 472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 815.66 = 342.42 : x
  2. Step 2: Convert to fraction form
    591.12/815.66 = 342.42/x
  3. Step 3: Cross multiply
    591.12x = 815.66 × 342.42
  4. Step 4: Simplify right side
    591.12x = 279,298.30
  5. Step 5: Solve for x
    x = 279,298.30/591.12
  6. Step 6: Final answer
    x = 472.49

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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.