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Finding the Fourth Proportional to 433.67, 598.34 and 247.09

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Solution

The fourth proportional to 433.67, 598.34 and 247.09 is: 340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.67 : 598.34 = 247.09 : x
  2. Step 2: Convert to fraction form
    433.67/598.34 = 247.09/x
  3. Step 3: Cross multiply
    433.67x = 598.34 × 247.09
  4. Step 4: Simplify right side
    433.67x = 147,842.95
  5. Step 5: Solve for x
    x = 147,842.95/433.67
  6. Step 6: Final answer
    x = 340.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.