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Finding the Fourth Proportional to 400.33, 552.65 and 289.77

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Solution

The fourth proportional to 400.33, 552.65 and 289.77 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.33 : 552.65 = 289.77 : x
  2. Step 2: Convert to fraction form
    400.33/552.65 = 289.77/x
  3. Step 3: Cross multiply
    400.33x = 552.65 × 289.77
  4. Step 4: Simplify right side
    400.33x = 160,141.39
  5. Step 5: Solve for x
    x = 160,141.39/400.33
  6. Step 6: Final answer
    x = 400.02

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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.