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Finding the Fourth Proportional to 567.33, 850.32 and 412.89

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Solution

The fourth proportional to 567.33, 850.32 and 412.89 is: 618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 850.32 = 412.89 : x
  2. Step 2: Convert to fraction form
    567.33/850.32 = 412.89/x
  3. Step 3: Cross multiply
    567.33x = 850.32 × 412.89
  4. Step 4: Simplify right side
    567.33x = 351,088.62
  5. Step 5: Solve for x
    x = 351,088.62/567.33
  6. Step 6: Final answer
    x = 618.84

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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.