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Finding the Fourth Proportional to 567.51, 850.37 and 511.05

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Solution

The fourth proportional to 567.51, 850.37 and 511.05 is: 765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.51 : 850.37 = 511.05 : x
  2. Step 2: Convert to fraction form
    567.51/850.37 = 511.05/x
  3. Step 3: Cross multiply
    567.51x = 850.37 × 511.05
  4. Step 4: Simplify right side
    567.51x = 434,579.03
  5. Step 5: Solve for x
    x = 434,579.03/567.51
  6. Step 6: Final answer
    x = 765.76

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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.