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Finding the Fourth Proportional to 567.80, 783.48 and 331.82

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Solution

The fourth proportional to 567.80, 783.48 and 331.82 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 783.48 = 331.82 : x
  2. Step 2: Convert to fraction form
    567.80/783.48 = 331.82/x
  3. Step 3: Cross multiply
    567.80x = 783.48 × 331.82
  4. Step 4: Simplify right side
    567.80x = 259,974.33
  5. Step 5: Solve for x
    x = 259,974.33/567.80
  6. Step 6: Final answer
    x = 457.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.