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Finding the Fourth Proportional to 589.32, 883.46 and 224.12

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Solution

The fourth proportional to 589.32, 883.46 and 224.12 is: 335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 883.46 = 224.12 : x
  2. Step 2: Convert to fraction form
    589.32/883.46 = 224.12/x
  3. Step 3: Cross multiply
    589.32x = 883.46 × 224.12
  4. Step 4: Simplify right side
    589.32x = 198,001.06
  5. Step 5: Solve for x
    x = 198,001.06/589.32
  6. Step 6: Final answer
    x = 335.98

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1.5x scale

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.