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Finding the Fourth Proportional to 400.79, 552.85 and 354.02

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Solution

The fourth proportional to 400.79, 552.85 and 354.02 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.79 : 552.85 = 354.02 : x
  2. Step 2: Convert to fraction form
    400.79/552.85 = 354.02/x
  3. Step 3: Cross multiply
    400.79x = 552.85 × 354.02
  4. Step 4: Simplify right side
    400.79x = 195,716.31
  5. Step 5: Solve for x
    x = 195,716.31/400.79
  6. Step 6: Final answer
    x = 488.32

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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.