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Finding the Fourth Proportional to 404.97, 558.86 and 230.32

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Solution

The fourth proportional to 404.97, 558.86 and 230.32 is: 317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.97 : 558.86 = 230.32 : x
  2. Step 2: Convert to fraction form
    404.97/558.86 = 230.32/x
  3. Step 3: Cross multiply
    404.97x = 558.86 × 230.32
  4. Step 4: Simplify right side
    404.97x = 128,716.64
  5. Step 5: Solve for x
    x = 128,716.64/404.97
  6. Step 6: Final answer
    x = 317.84

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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.