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Finding the Fourth Proportional to 589.48, 884.24 and 264.76

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Solution

The fourth proportional to 589.48, 884.24 and 264.76 is: 397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 884.24 = 264.76 : x
  2. Step 2: Convert to fraction form
    589.48/884.24 = 264.76/x
  3. Step 3: Cross multiply
    589.48x = 884.24 × 264.76
  4. Step 4: Simplify right side
    589.48x = 234,111.38
  5. Step 5: Solve for x
    x = 234,111.38/589.48
  6. Step 6: Final answer
    x = 397.15

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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.