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Finding the Fourth Proportional to 600.18, 900.17 and 234.78

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Solution

The fourth proportional to 600.18, 900.17 and 234.78 is: 352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.18 : 900.17 = 234.78 : x
  2. Step 2: Convert to fraction form
    600.18/900.17 = 234.78/x
  3. Step 3: Cross multiply
    600.18x = 900.17 × 234.78
  4. Step 4: Simplify right side
    600.18x = 211,341.91
  5. Step 5: Solve for x
    x = 211,341.91/600.18
  6. Step 6: Final answer
    x = 352.13

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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.