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Finding the Fourth Proportional to 559.49, 835.47 and 456.98

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Solution

The fourth proportional to 559.49, 835.47 and 456.98 is: 682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.49 : 835.47 = 456.98 : x
  2. Step 2: Convert to fraction form
    559.49/835.47 = 456.98/x
  3. Step 3: Cross multiply
    559.49x = 835.47 × 456.98
  4. Step 4: Simplify right side
    559.49x = 381,793.08
  5. Step 5: Solve for x
    x = 381,793.08/559.49
  6. Step 6: Final answer
    x = 682.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.