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Finding the Fourth Proportional to 589.47, 884.10 and 264.78

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Solution

The fourth proportional to 589.47, 884.10 and 264.78 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.47 : 884.10 = 264.78 : x
  2. Step 2: Convert to fraction form
    589.47/884.10 = 264.78/x
  3. Step 3: Cross multiply
    589.47x = 884.10 × 264.78
  4. Step 4: Simplify right side
    589.47x = 234,092.00
  5. Step 5: Solve for x
    x = 234,092.00/589.47
  6. Step 6: Final answer
    x = 397.12

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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.