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Finding the Fourth Proportional to 417.88, 575.94 and 301.24

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Solution

The fourth proportional to 417.88, 575.94 and 301.24 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.88 : 575.94 = 301.24 : x
  2. Step 2: Convert to fraction form
    417.88/575.94 = 301.24/x
  3. Step 3: Cross multiply
    417.88x = 575.94 × 301.24
  4. Step 4: Simplify right side
    417.88x = 173,496.17
  5. Step 5: Solve for x
    x = 173,496.17/417.88
  6. Step 6: Final answer
    x = 415.18

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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.