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Finding the Fourth Proportional to 400.80, 552.72 and 313.80

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Solution

The fourth proportional to 400.80, 552.72 and 313.80 is: 432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.80 : 552.72 = 313.80 : x
  2. Step 2: Convert to fraction form
    400.80/552.72 = 313.80/x
  3. Step 3: Cross multiply
    400.80x = 552.72 × 313.80
  4. Step 4: Simplify right side
    400.80x = 173,443.54
  5. Step 5: Solve for x
    x = 173,443.54/400.80
  6. Step 6: Final answer
    x = 432.74

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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.