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Finding the Fourth Proportional to 559.24, 838.08 and 462.34

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Solution

The fourth proportional to 559.24, 838.08 and 462.34 is: 692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 838.08 = 462.34 : x
  2. Step 2: Convert to fraction form
    559.24/838.08 = 462.34/x
  3. Step 3: Cross multiply
    559.24x = 838.08 × 462.34
  4. Step 4: Simplify right side
    559.24x = 387,478.95
  5. Step 5: Solve for x
    x = 387,478.95/559.24
  6. Step 6: Final answer
    x = 692.87

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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.