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Finding the Fourth Proportional to 415.36, 619.73 and 353.80

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Solution

The fourth proportional to 415.36, 619.73 and 353.80 is: 527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 619.73 = 353.80 : x
  2. Step 2: Convert to fraction form
    415.36/619.73 = 353.80/x
  3. Step 3: Cross multiply
    415.36x = 619.73 × 353.80
  4. Step 4: Simplify right side
    415.36x = 219,260.47
  5. Step 5: Solve for x
    x = 219,260.47/415.36
  6. Step 6: Final answer
    x = 527.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.