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Finding the Fourth Proportional to 567.42, 850.41 and 310.62

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Solution

The fourth proportional to 567.42, 850.41 and 310.62 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 850.41 = 310.62 : x
  2. Step 2: Convert to fraction form
    567.42/850.41 = 310.62/x
  3. Step 3: Cross multiply
    567.42x = 850.41 × 310.62
  4. Step 4: Simplify right side
    567.42x = 264,154.35
  5. Step 5: Solve for x
    x = 264,154.35/567.42
  6. Step 6: Final answer
    x = 465.54

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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.