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Finding the Fourth Proportional to 591.32, 814.32 and 589.52

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Solution

The fourth proportional to 591.32, 814.32 and 589.52 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 814.32 = 589.52 : x
  2. Step 2: Convert to fraction form
    591.32/814.32 = 589.52/x
  3. Step 3: Cross multiply
    591.32x = 814.32 × 589.52
  4. Step 4: Simplify right side
    591.32x = 480,057.93
  5. Step 5: Solve for x
    x = 480,057.93/591.32
  6. Step 6: Final answer
    x = 811.84

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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.