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Finding the Fourth Proportional to 591.54, 816.22 and 342.84

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Solution

The fourth proportional to 591.54, 816.22 and 342.84 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.54 : 816.22 = 342.84 : x
  2. Step 2: Convert to fraction form
    591.54/816.22 = 342.84/x
  3. Step 3: Cross multiply
    591.54x = 816.22 × 342.84
  4. Step 4: Simplify right side
    591.54x = 279,832.86
  5. Step 5: Solve for x
    x = 279,832.86/591.54
  6. Step 6: Final answer
    x = 473.06

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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.