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Finding the Fourth Proportional to 589.49, 884.02 and 265.08

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Solution

The fourth proportional to 589.49, 884.02 and 265.08 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.49 : 884.02 = 265.08 : x
  2. Step 2: Convert to fraction form
    589.49/884.02 = 265.08/x
  3. Step 3: Cross multiply
    589.49x = 884.02 × 265.08
  4. Step 4: Simplify right side
    589.49x = 234,336.02
  5. Step 5: Solve for x
    x = 234,336.02/589.49
  6. Step 6: Final answer
    x = 397.52

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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.