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Finding the Fourth Proportional to 589.65, 884.75 and 260.56

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Solution

The fourth proportional to 589.65, 884.75 and 260.56 is: 390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.65 : 884.75 = 260.56 : x
  2. Step 2: Convert to fraction form
    589.65/884.75 = 260.56/x
  3. Step 3: Cross multiply
    589.65x = 884.75 × 260.56
  4. Step 4: Simplify right side
    589.65x = 230,530.46
  5. Step 5: Solve for x
    x = 230,530.46/589.65
  6. Step 6: Final answer
    x = 390.96

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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.