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Finding the Fourth Proportional to 532.88, 798.54 and 379.11

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Solution

The fourth proportional to 532.88, 798.54 and 379.11 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 798.54 = 379.11 : x
  2. Step 2: Convert to fraction form
    532.88/798.54 = 379.11/x
  3. Step 3: Cross multiply
    532.88x = 798.54 × 379.11
  4. Step 4: Simplify right side
    532.88x = 302,736.07
  5. Step 5: Solve for x
    x = 302,736.07/532.88
  6. Step 6: Final answer
    x = 568.11

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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.