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Finding the Fourth Proportional to 532.26, 798.03 and 207.54

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Solution

The fourth proportional to 532.26, 798.03 and 207.54 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 798.03 = 207.54 : x
  2. Step 2: Convert to fraction form
    532.26/798.03 = 207.54/x
  3. Step 3: Cross multiply
    532.26x = 798.03 × 207.54
  4. Step 4: Simplify right side
    532.26x = 165,623.15
  5. Step 5: Solve for x
    x = 165,623.15/532.26
  6. Step 6: Final answer
    x = 311.17

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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.