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Finding the Fourth Proportional to 567.68, 850.06 and 476.14

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Solution

The fourth proportional to 567.68, 850.06 and 476.14 is: 712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 850.06 = 476.14 : x
  2. Step 2: Convert to fraction form
    567.68/850.06 = 476.14/x
  3. Step 3: Cross multiply
    567.68x = 850.06 × 476.14
  4. Step 4: Simplify right side
    567.68x = 404,747.57
  5. Step 5: Solve for x
    x = 404,747.57/567.68
  6. Step 6: Final answer
    x = 712.99

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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.