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Finding the Fourth Proportional to 565.14, 846.49 and 551.37

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Solution

The fourth proportional to 565.14, 846.49 and 551.37 is: 825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.14 : 846.49 = 551.37 : x
  2. Step 2: Convert to fraction form
    565.14/846.49 = 551.37/x
  3. Step 3: Cross multiply
    565.14x = 846.49 × 551.37
  4. Step 4: Simplify right side
    565.14x = 466,729.19
  5. Step 5: Solve for x
    x = 466,729.19/565.14
  6. Step 6: Final answer
    x = 825.86

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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.