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Finding the Fourth Proportional to 403.97, 557.47 and 229.32

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Solution

The fourth proportional to 403.97, 557.47 and 229.32 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 557.47 = 229.32 : x
  2. Step 2: Convert to fraction form
    403.97/557.47 = 229.32/x
  3. Step 3: Cross multiply
    403.97x = 557.47 × 229.32
  4. Step 4: Simplify right side
    403.97x = 127,839.02
  5. Step 5: Solve for x
    x = 127,839.02/403.97
  6. Step 6: Final answer
    x = 316.46

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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.