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Finding the Fourth Proportional to 559.51, 838.42 and 299.55

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Solution

The fourth proportional to 559.51, 838.42 and 299.55 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.51 : 838.42 = 299.55 : x
  2. Step 2: Convert to fraction form
    559.51/838.42 = 299.55/x
  3. Step 3: Cross multiply
    559.51x = 838.42 × 299.55
  4. Step 4: Simplify right side
    559.51x = 251,148.71
  5. Step 5: Solve for x
    x = 251,148.71/559.51
  6. Step 6: Final answer
    x = 448.87

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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.