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Finding the Fourth Proportional to 404.74, 558.66 and 264.61

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Solution

The fourth proportional to 404.74, 558.66 and 264.61 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.74 : 558.66 = 264.61 : x
  2. Step 2: Convert to fraction form
    404.74/558.66 = 264.61/x
  3. Step 3: Cross multiply
    404.74x = 558.66 × 264.61
  4. Step 4: Simplify right side
    404.74x = 147,822.91
  5. Step 5: Solve for x
    x = 147,822.91/404.74
  6. Step 6: Final answer
    x = 365.23

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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.