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Finding the Fourth Proportional to 559.75, 840.02 and 251.95

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Solution

The fourth proportional to 559.75, 840.02 and 251.95 is: 378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 840.02 = 251.95 : x
  2. Step 2: Convert to fraction form
    559.75/840.02 = 251.95/x
  3. Step 3: Cross multiply
    559.75x = 840.02 × 251.95
  4. Step 4: Simplify right side
    559.75x = 211,643.04
  5. Step 5: Solve for x
    x = 211,643.04/559.75
  6. Step 6: Final answer
    x = 378.10

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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.