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Finding the Fourth Proportional to 397.74, 596.25 and 253.50

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Solution

The fourth proportional to 397.74, 596.25 and 253.50 is: 380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 596.25 = 253.50 : x
  2. Step 2: Convert to fraction form
    397.74/596.25 = 253.50/x
  3. Step 3: Cross multiply
    397.74x = 596.25 × 253.50
  4. Step 4: Simplify right side
    397.74x = 151,149.38
  5. Step 5: Solve for x
    x = 151,149.38/397.74
  6. Step 6: Final answer
    x = 380.02

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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.