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Finding the Fourth Proportional to 404.66, 558.42 and 230.06

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Solution

The fourth proportional to 404.66, 558.42 and 230.06 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 558.42 = 230.06 : x
  2. Step 2: Convert to fraction form
    404.66/558.42 = 230.06/x
  3. Step 3: Cross multiply
    404.66x = 558.42 × 230.06
  4. Step 4: Simplify right side
    404.66x = 128,470.11
  5. Step 5: Solve for x
    x = 128,470.11/404.66
  6. Step 6: Final answer
    x = 317.48

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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.