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Finding the Fourth Proportional to 589.14, 884.70 and 442.89

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Solution

The fourth proportional to 589.14, 884.70 and 442.89 is: 665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 884.70 = 442.89 : x
  2. Step 2: Convert to fraction form
    589.14/884.70 = 442.89/x
  3. Step 3: Cross multiply
    589.14x = 884.70 × 442.89
  4. Step 4: Simplify right side
    589.14x = 391,824.78
  5. Step 5: Solve for x
    x = 391,824.78/589.14
  6. Step 6: Final answer
    x = 665.08

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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.