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Finding the Fourth Proportional to 418.45, 577.48 and 252.63

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Solution

The fourth proportional to 418.45, 577.48 and 252.63 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.45 : 577.48 = 252.63 : x
  2. Step 2: Convert to fraction form
    418.45/577.48 = 252.63/x
  3. Step 3: Cross multiply
    418.45x = 577.48 × 252.63
  4. Step 4: Simplify right side
    418.45x = 145,890.94
  5. Step 5: Solve for x
    x = 145,890.94/418.45
  6. Step 6: Final answer
    x = 348.64

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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.