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Finding the Fourth Proportional to 589.18, 882.24 and 344.65

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Solution

The fourth proportional to 589.18, 882.24 and 344.65 is: 516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 882.24 = 344.65 : x
  2. Step 2: Convert to fraction form
    589.18/882.24 = 344.65/x
  3. Step 3: Cross multiply
    589.18x = 882.24 × 344.65
  4. Step 4: Simplify right side
    589.18x = 304,064.02
  5. Step 5: Solve for x
    x = 304,064.02/589.18
  6. Step 6: Final answer
    x = 516.08

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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.