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Finding the Fourth Proportional to 589, 883.50 and 332.52

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Solution

The fourth proportional to 589, 883.50 and 332.52 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 883.50 = 332.52 : x
  2. Step 2: Convert to fraction form
    589/883.50 = 332.52/x
  3. Step 3: Cross multiply
    589x = 883.50 × 332.52
  4. Step 4: Simplify right side
    589x = 293,781.42
  5. Step 5: Solve for x
    x = 293,781.42/589
  6. Step 6: Final answer
    x = 498.78

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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.