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Finding the Fourth Proportional to 589.10, 883.20 and 332.60

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Solution

The fourth proportional to 589.10, 883.20 and 332.60 is: 498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.10 : 883.20 = 332.60 : x
  2. Step 2: Convert to fraction form
    589.10/883.20 = 332.60/x
  3. Step 3: Cross multiply
    589.10x = 883.20 × 332.60
  4. Step 4: Simplify right side
    589.10x = 293,752.32
  5. Step 5: Solve for x
    x = 293,752.32/589.10
  6. Step 6: Final answer
    x = 498.65

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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.