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Finding the Fourth Proportional to 370.70, 512.48 and 324.53

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Solution

The fourth proportional to 370.70, 512.48 and 324.53 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.70 : 512.48 = 324.53 : x
  2. Step 2: Convert to fraction form
    370.70/512.48 = 324.53/x
  3. Step 3: Cross multiply
    370.70x = 512.48 × 324.53
  4. Step 4: Simplify right side
    370.70x = 166,313.38
  5. Step 5: Solve for x
    x = 166,313.38/370.70
  6. Step 6: Final answer
    x = 448.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.