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Finding the Fourth Proportional to 559.98, 836.13 and 456.09

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Solution

The fourth proportional to 559.98, 836.13 and 456.09 is: 681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.98 : 836.13 = 456.09 : x
  2. Step 2: Convert to fraction form
    559.98/836.13 = 456.09/x
  3. Step 3: Cross multiply
    559.98x = 836.13 × 456.09
  4. Step 4: Simplify right side
    559.98x = 381,350.53
  5. Step 5: Solve for x
    x = 381,350.53/559.98
  6. Step 6: Final answer
    x = 681.01

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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.