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Finding the Fourth Proportional to 589.24, 883.68 and 224.08

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Solution

The fourth proportional to 589.24, 883.68 and 224.08 is: 336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 883.68 = 224.08 : x
  2. Step 2: Convert to fraction form
    589.24/883.68 = 224.08/x
  3. Step 3: Cross multiply
    589.24x = 883.68 × 224.08
  4. Step 4: Simplify right side
    589.24x = 198,015.01
  5. Step 5: Solve for x
    x = 198,015.01/589.24
  6. Step 6: Final answer
    x = 336.05

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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.