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Finding the Fourth Proportional to 415.38, 573 and 304.61

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Solution

The fourth proportional to 415.38, 573 and 304.61 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 573 = 304.61 : x
  2. Step 2: Convert to fraction form
    415.38/573 = 304.61/x
  3. Step 3: Cross multiply
    415.38x = 573 × 304.61
  4. Step 4: Simplify right side
    415.38x = 174,538.67
  5. Step 5: Solve for x
    x = 174,538.67/415.38
  6. Step 6: Final answer
    x = 420.19

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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.