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Finding the Fourth Proportional to 591.12, 814.54 and 588.84

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Solution

The fourth proportional to 591.12, 814.54 and 588.84 is: 811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 814.54 = 588.84 : x
  2. Step 2: Convert to fraction form
    591.12/814.54 = 588.84/x
  3. Step 3: Cross multiply
    591.12x = 814.54 × 588.84
  4. Step 4: Simplify right side
    591.12x = 479,633.73
  5. Step 5: Solve for x
    x = 479,633.73/591.12
  6. Step 6: Final answer
    x = 811.40

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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.