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Finding the Fourth Proportional to 591.56, 816.33 and 342.71

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Solution

The fourth proportional to 591.56, 816.33 and 342.71 is: 472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 816.33 = 342.71 : x
  2. Step 2: Convert to fraction form
    591.56/816.33 = 342.71/x
  3. Step 3: Cross multiply
    591.56x = 816.33 × 342.71
  4. Step 4: Simplify right side
    591.56x = 279,764.45
  5. Step 5: Solve for x
    x = 279,764.45/591.56
  6. Step 6: Final answer
    x = 472.93

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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.