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Finding the Fourth Proportional to 858.38, 1,287.32 and 419.39

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Solution

The fourth proportional to 858.38, 1,287.32 and 419.39 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,287.32 = 419.39 : x
  2. Step 2: Convert to fraction form
    858.38/1,287.32 = 419.39/x
  3. Step 3: Cross multiply
    858.38x = 1,287.32 × 419.39
  4. Step 4: Simplify right side
    858.38x = 539,882.70
  5. Step 5: Solve for x
    x = 539,882.70/858.38
  6. Step 6: Final answer
    x = 628.96

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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.