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Finding the Fourth Proportional to 586.51, 879.43 and 239.75

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Solution

The fourth proportional to 586.51, 879.43 and 239.75 is: 359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.51 : 879.43 = 239.75 : x
  2. Step 2: Convert to fraction form
    586.51/879.43 = 239.75/x
  3. Step 3: Cross multiply
    586.51x = 879.43 × 239.75
  4. Step 4: Simplify right side
    586.51x = 210,843.34
  5. Step 5: Solve for x
    x = 210,843.34/586.51
  6. Step 6: Final answer
    x = 359.49

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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.