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Finding the Fourth Proportional to 591.54, 816.46 and 426.30

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Solution

The fourth proportional to 591.54, 816.46 and 426.30 is: 588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.54 : 816.46 = 426.30 : x
  2. Step 2: Convert to fraction form
    591.54/816.46 = 426.30/x
  3. Step 3: Cross multiply
    591.54x = 816.46 × 426.30
  4. Step 4: Simplify right side
    591.54x = 348,056.90
  5. Step 5: Solve for x
    x = 348,056.90/591.54
  6. Step 6: Final answer
    x = 588.39

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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.