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Finding the Fourth Proportional to 292.64, 404.04 and 227.04

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Solution

The fourth proportional to 292.64, 404.04 and 227.04 is: 313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 404.04 = 227.04 : x
  2. Step 2: Convert to fraction form
    292.64/404.04 = 227.04/x
  3. Step 3: Cross multiply
    292.64x = 404.04 × 227.04
  4. Step 4: Simplify right side
    292.64x = 91,733.24
  5. Step 5: Solve for x
    x = 91,733.24/292.64
  6. Step 6: Final answer
    x = 313.47

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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.