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Finding the Fourth Proportional to 400.77, 552.80 and 259.17

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Solution

The fourth proportional to 400.77, 552.80 and 259.17 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 552.80 = 259.17 : x
  2. Step 2: Convert to fraction form
    400.77/552.80 = 259.17/x
  3. Step 3: Cross multiply
    400.77x = 552.80 × 259.17
  4. Step 4: Simplify right side
    400.77x = 143,267.75
  5. Step 5: Solve for x
    x = 143,267.75/400.77
  6. Step 6: Final answer
    x = 357.48

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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.