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Finding the Fourth Proportional to 591.44, 816.24 and 342.81

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Solution

The fourth proportional to 591.44, 816.24 and 342.81 is: 473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.44 : 816.24 = 342.81 : x
  2. Step 2: Convert to fraction form
    591.44/816.24 = 342.81/x
  3. Step 3: Cross multiply
    591.44x = 816.24 × 342.81
  4. Step 4: Simplify right side
    591.44x = 279,815.23
  5. Step 5: Solve for x
    x = 279,815.23/591.44
  6. Step 6: Final answer
    x = 473.11

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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.