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Finding the Fourth Proportional to 589.55, 883.95 and 224.13

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Solution

The fourth proportional to 589.55, 883.95 and 224.13 is: 336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.55 : 883.95 = 224.13 : x
  2. Step 2: Convert to fraction form
    589.55/883.95 = 224.13/x
  3. Step 3: Cross multiply
    589.55x = 883.95 × 224.13
  4. Step 4: Simplify right side
    589.55x = 198,122.19
  5. Step 5: Solve for x
    x = 198,122.19/589.55
  6. Step 6: Final answer
    x = 336.06

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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.