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Finding the Fourth Proportional to 591.50, 816.25 and 342.82

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Solution

The fourth proportional to 591.50, 816.25 and 342.82 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.50 : 816.25 = 342.82 : x
  2. Step 2: Convert to fraction form
    591.50/816.25 = 342.82/x
  3. Step 3: Cross multiply
    591.50x = 816.25 × 342.82
  4. Step 4: Simplify right side
    591.50x = 279,826.83
  5. Step 5: Solve for x
    x = 279,826.83/591.50
  6. Step 6: Final answer
    x = 473.08

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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.