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Finding the Fourth Proportional to 559.04, 836.99 and 284.54

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Solution

The fourth proportional to 559.04, 836.99 and 284.54 is: 426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.04 : 836.99 = 284.54 : x
  2. Step 2: Convert to fraction form
    559.04/836.99 = 284.54/x
  3. Step 3: Cross multiply
    559.04x = 836.99 × 284.54
  4. Step 4: Simplify right side
    559.04x = 238,151.53
  5. Step 5: Solve for x
    x = 238,151.53/559.04
  6. Step 6: Final answer
    x = 426.00

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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.