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Finding the Fourth Proportional to 589.60, 882.84 and 442.84

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Solution

The fourth proportional to 589.60, 882.84 and 442.84 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 882.84 = 442.84 : x
  2. Step 2: Convert to fraction form
    589.60/882.84 = 442.84/x
  3. Step 3: Cross multiply
    589.60x = 882.84 × 442.84
  4. Step 4: Simplify right side
    589.60x = 390,956.87
  5. Step 5: Solve for x
    x = 390,956.87/589.60
  6. Step 6: Final answer
    x = 663.09

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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.