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Finding the Fourth Proportional to 559.89, 840.03 and 175.14

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Solution

The fourth proportional to 559.89, 840.03 and 175.14 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.89 : 840.03 = 175.14 : x
  2. Step 2: Convert to fraction form
    559.89/840.03 = 175.14/x
  3. Step 3: Cross multiply
    559.89x = 840.03 × 175.14
  4. Step 4: Simplify right side
    559.89x = 147,122.85
  5. Step 5: Solve for x
    x = 147,122.85/559.89
  6. Step 6: Final answer
    x = 262.77

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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.