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Finding the Fourth Proportional to 415.65, 573.24 and 353.69

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Solution

The fourth proportional to 415.65, 573.24 and 353.69 is: 487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 573.24 = 353.69 : x
  2. Step 2: Convert to fraction form
    415.65/573.24 = 353.69/x
  3. Step 3: Cross multiply
    415.65x = 573.24 × 353.69
  4. Step 4: Simplify right side
    415.65x = 202,749.26
  5. Step 5: Solve for x
    x = 202,749.26/415.65
  6. Step 6: Final answer
    x = 487.79

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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.