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Finding the Fourth Proportional to 586.26, 879.39 and 394.02

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Solution

The fourth proportional to 586.26, 879.39 and 394.02 is: 591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 879.39 = 394.02 : x
  2. Step 2: Convert to fraction form
    586.26/879.39 = 394.02/x
  3. Step 3: Cross multiply
    586.26x = 879.39 × 394.02
  4. Step 4: Simplify right side
    586.26x = 346,497.25
  5. Step 5: Solve for x
    x = 346,497.25/586.26
  6. Step 6: Final answer
    x = 591.03

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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.