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Finding the Fourth Proportional to 589.01, 882.97 and 264.20

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Solution

The fourth proportional to 589.01, 882.97 and 264.20 is: 396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.01 : 882.97 = 264.20 : x
  2. Step 2: Convert to fraction form
    589.01/882.97 = 264.20/x
  3. Step 3: Cross multiply
    589.01x = 882.97 × 264.20
  4. Step 4: Simplify right side
    589.01x = 233,280.23
  5. Step 5: Solve for x
    x = 233,280.23/589.01
  6. Step 6: Final answer
    x = 396.06

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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.