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Finding the Fourth Proportional to 417.41, 575.56 and 395.44

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Solution

The fourth proportional to 417.41, 575.56 and 395.44 is: 545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.41 : 575.56 = 395.44 : x
  2. Step 2: Convert to fraction form
    417.41/575.56 = 395.44/x
  3. Step 3: Cross multiply
    417.41x = 575.56 × 395.44
  4. Step 4: Simplify right side
    417.41x = 227,597.02
  5. Step 5: Solve for x
    x = 227,597.02/417.41
  6. Step 6: Final answer
    x = 545.27

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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.