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Finding the Fourth Proportional to 589.78, 884.76 and 265.16

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Solution

The fourth proportional to 589.78, 884.76 and 265.16 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 884.76 = 265.16 : x
  2. Step 2: Convert to fraction form
    589.78/884.76 = 265.16/x
  3. Step 3: Cross multiply
    589.78x = 884.76 × 265.16
  4. Step 4: Simplify right side
    589.78x = 234,602.96
  5. Step 5: Solve for x
    x = 234,602.96/589.78
  6. Step 6: Final answer
    x = 397.78

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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.