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Finding the Fourth Proportional to 567.52, 850.57 and 411.09

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Solution

The fourth proportional to 567.52, 850.57 and 411.09 is: 616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.52 : 850.57 = 411.09 : x
  2. Step 2: Convert to fraction form
    567.52/850.57 = 411.09/x
  3. Step 3: Cross multiply
    567.52x = 850.57 × 411.09
  4. Step 4: Simplify right side
    567.52x = 349,656.60
  5. Step 5: Solve for x
    x = 349,656.60/567.52
  6. Step 6: Final answer
    x = 616.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.