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Finding the Fourth Proportional to 397.76, 596.70 and 282.24

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Solution

The fourth proportional to 397.76, 596.70 and 282.24 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 596.70 = 282.24 : x
  2. Step 2: Convert to fraction form
    397.76/596.70 = 282.24/x
  3. Step 3: Cross multiply
    397.76x = 596.70 × 282.24
  4. Step 4: Simplify right side
    397.76x = 168,412.61
  5. Step 5: Solve for x
    x = 168,412.61/397.76
  6. Step 6: Final answer
    x = 423.41

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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.