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Finding the Fourth Proportional to 591.65, 816.10 and 342.91

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Solution

The fourth proportional to 591.65, 816.10 and 342.91 is: 472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.65 : 816.10 = 342.91 : x
  2. Step 2: Convert to fraction form
    591.65/816.10 = 342.91/x
  3. Step 3: Cross multiply
    591.65x = 816.10 × 342.91
  4. Step 4: Simplify right side
    591.65x = 279,847.68
  5. Step 5: Solve for x
    x = 279,847.68/591.65
  6. Step 6: Final answer
    x = 472.99

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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.