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Finding the Fourth Proportional to 589.40, 882.18 and 332.12

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Solution

The fourth proportional to 589.40, 882.18 and 332.12 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 882.18 = 332.12 : x
  2. Step 2: Convert to fraction form
    589.40/882.18 = 332.12/x
  3. Step 3: Cross multiply
    589.40x = 882.18 × 332.12
  4. Step 4: Simplify right side
    589.40x = 292,989.62
  5. Step 5: Solve for x
    x = 292,989.62/589.40
  6. Step 6: Final answer
    x = 497.10

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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.