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Finding the Fourth Proportional to 591.32, 816.01 and 342.65

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Solution

The fourth proportional to 591.32, 816.01 and 342.65 is: 472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 816.01 = 342.65 : x
  2. Step 2: Convert to fraction form
    591.32/816.01 = 342.65/x
  3. Step 3: Cross multiply
    591.32x = 816.01 × 342.65
  4. Step 4: Simplify right side
    591.32x = 279,607.01
  5. Step 5: Solve for x
    x = 279,607.01/591.32
  6. Step 6: Final answer
    x = 472.85

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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.