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Finding the Fourth Proportional to 853.16, 1,280.13 and 414.33

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Solution

The fourth proportional to 853.16, 1,280.13 and 414.33 is: 621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.16 : 1,280.13 = 414.33 : x
  2. Step 2: Convert to fraction form
    853.16/1,280.13 = 414.33/x
  3. Step 3: Cross multiply
    853.16x = 1,280.13 × 414.33
  4. Step 4: Simplify right side
    853.16x = 530,396.26
  5. Step 5: Solve for x
    x = 530,396.26/853.16
  6. Step 6: Final answer
    x = 621.68

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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.