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Finding the Fourth Proportional to 415.74, 573.47 and 247.58

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Solution

The fourth proportional to 415.74, 573.47 and 247.58 is: 341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 573.47 = 247.58 : x
  2. Step 2: Convert to fraction form
    415.74/573.47 = 247.58/x
  3. Step 3: Cross multiply
    415.74x = 573.47 × 247.58
  4. Step 4: Simplify right side
    415.74x = 141,978.73
  5. Step 5: Solve for x
    x = 141,978.73/415.74
  6. Step 6: Final answer
    x = 341.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.