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Finding the Fourth Proportional to 567.15, 850.04 and 412.69

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Solution

The fourth proportional to 567.15, 850.04 and 412.69 is: 618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.15 : 850.04 = 412.69 : x
  2. Step 2: Convert to fraction form
    567.15/850.04 = 412.69/x
  3. Step 3: Cross multiply
    567.15x = 850.04 × 412.69
  4. Step 4: Simplify right side
    567.15x = 350,800.94
  5. Step 5: Solve for x
    x = 350,800.94/567.15
  6. Step 6: Final answer
    x = 618.53

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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.