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Finding the Fourth Proportional to 567.64, 850.83 and 414.26

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Solution

The fourth proportional to 567.64, 850.83 and 414.26 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 850.83 = 414.26 : x
  2. Step 2: Convert to fraction form
    567.64/850.83 = 414.26/x
  3. Step 3: Cross multiply
    567.64x = 850.83 × 414.26
  4. Step 4: Simplify right side
    567.64x = 352,464.84
  5. Step 5: Solve for x
    x = 352,464.84/567.64
  6. Step 6: Final answer
    x = 620.93

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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.