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Finding the Fourth Proportional to 559.88, 840.59 and 386.13

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Solution

The fourth proportional to 559.88, 840.59 and 386.13 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.88 : 840.59 = 386.13 : x
  2. Step 2: Convert to fraction form
    559.88/840.59 = 386.13/x
  3. Step 3: Cross multiply
    559.88x = 840.59 × 386.13
  4. Step 4: Simplify right side
    559.88x = 324,575.09
  5. Step 5: Solve for x
    x = 324,575.09/559.88
  6. Step 6: Final answer
    x = 579.73

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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.