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Finding the Fourth Proportional to 589.16, 884.34 and 482.24

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Solution

The fourth proportional to 589.16, 884.34 and 482.24 is: 723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 884.34 = 482.24 : x
  2. Step 2: Convert to fraction form
    589.16/884.34 = 482.24/x
  3. Step 3: Cross multiply
    589.16x = 884.34 × 482.24
  4. Step 4: Simplify right side
    589.16x = 426,459.70
  5. Step 5: Solve for x
    x = 426,459.70/589.16
  6. Step 6: Final answer
    x = 723.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.