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Finding the Fourth Proportional to 858.46, 1,287.96 and 338.44

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Solution

The fourth proportional to 858.46, 1,287.96 and 338.44 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.46 : 1,287.96 = 338.44 : x
  2. Step 2: Convert to fraction form
    858.46/1,287.96 = 338.44/x
  3. Step 3: Cross multiply
    858.46x = 1,287.96 × 338.44
  4. Step 4: Simplify right side
    858.46x = 435,897.18
  5. Step 5: Solve for x
    x = 435,897.18/858.46
  6. Step 6: Final answer
    x = 507.77

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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.