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Finding the Fourth Proportional to 450.29, 675.59 and 234.02

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Solution

The fourth proportional to 450.29, 675.59 and 234.02 is: 351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.29 : 675.59 = 234.02 : x
  2. Step 2: Convert to fraction form
    450.29/675.59 = 234.02/x
  3. Step 3: Cross multiply
    450.29x = 675.59 × 234.02
  4. Step 4: Simplify right side
    450.29x = 158,102.09
  5. Step 5: Solve for x
    x = 158,102.09/450.29
  6. Step 6: Final answer
    x = 351.11

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Why These Related Problems?

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