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Finding the Fourth Proportional to 401.48, 600.36 and 297.56

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Solution

The fourth proportional to 401.48, 600.36 and 297.56 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 600.36 = 297.56 : x
  2. Step 2: Convert to fraction form
    401.48/600.36 = 297.56/x
  3. Step 3: Cross multiply
    401.48x = 600.36 × 297.56
  4. Step 4: Simplify right side
    401.48x = 178,643.12
  5. Step 5: Solve for x
    x = 178,643.12/401.48
  6. Step 6: Final answer
    x = 444.96

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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.