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Finding the Fourth Proportional to 588.65, 883.25 and 259.56

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Solution

The fourth proportional to 588.65, 883.25 and 259.56 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 883.25 = 259.56 : x
  2. Step 2: Convert to fraction form
    588.65/883.25 = 259.56/x
  3. Step 3: Cross multiply
    588.65x = 883.25 × 259.56
  4. Step 4: Simplify right side
    588.65x = 229,255.07
  5. Step 5: Solve for x
    x = 229,255.07/588.65
  6. Step 6: Final answer
    x = 389.46

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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.