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Finding the Fourth Proportional to 417.68, 625.95 and 234.80

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Solution

The fourth proportional to 417.68, 625.95 and 234.80 is: 351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 625.95 = 234.80 : x
  2. Step 2: Convert to fraction form
    417.68/625.95 = 234.80/x
  3. Step 3: Cross multiply
    417.68x = 625.95 × 234.80
  4. Step 4: Simplify right side
    417.68x = 146,973.06
  5. Step 5: Solve for x
    x = 146,973.06/417.68
  6. Step 6: Final answer
    x = 351.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.