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Finding the Fourth Proportional to 591.06, 814.86 and 480.36

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Solution

The fourth proportional to 591.06, 814.86 and 480.36 is: 662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 814.86 = 480.36 : x
  2. Step 2: Convert to fraction form
    591.06/814.86 = 480.36/x
  3. Step 3: Cross multiply
    591.06x = 814.86 × 480.36
  4. Step 4: Simplify right side
    591.06x = 391,426.15
  5. Step 5: Solve for x
    x = 391,426.15/591.06
  6. Step 6: Final answer
    x = 662.24

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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.