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Finding the Fourth Proportional to 589.56, 883.24 and 315.24

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Solution

The fourth proportional to 589.56, 883.24 and 315.24 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.56 : 883.24 = 315.24 : x
  2. Step 2: Convert to fraction form
    589.56/883.24 = 315.24/x
  3. Step 3: Cross multiply
    589.56x = 883.24 × 315.24
  4. Step 4: Simplify right side
    589.56x = 278,432.58
  5. Step 5: Solve for x
    x = 278,432.58/589.56
  6. Step 6: Final answer
    x = 472.27

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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.