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Finding the Fourth Proportional to 401.76, 603.23 and 248.34

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Solution

The fourth proportional to 401.76, 603.23 and 248.34 is: 372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 603.23 = 248.34 : x
  2. Step 2: Convert to fraction form
    401.76/603.23 = 248.34/x
  3. Step 3: Cross multiply
    401.76x = 603.23 × 248.34
  4. Step 4: Simplify right side
    401.76x = 149,806.14
  5. Step 5: Solve for x
    x = 149,806.14/401.76
  6. Step 6: Final answer
    x = 372.87

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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.