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Finding the Fourth Proportional to 344.65, 475.52 and 204.65

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Solution

The fourth proportional to 344.65, 475.52 and 204.65 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.65 : 475.52 = 204.65 : x
  2. Step 2: Convert to fraction form
    344.65/475.52 = 204.65/x
  3. Step 3: Cross multiply
    344.65x = 475.52 × 204.65
  4. Step 4: Simplify right side
    344.65x = 97,315.17
  5. Step 5: Solve for x
    x = 97,315.17/344.65
  6. Step 6: Final answer
    x = 282.36

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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.