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Finding the Fourth Proportional to 567.23, 782.78 and 331.25

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Solution

The fourth proportional to 567.23, 782.78 and 331.25 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.23 : 782.78 = 331.25 : x
  2. Step 2: Convert to fraction form
    567.23/782.78 = 331.25/x
  3. Step 3: Cross multiply
    567.23x = 782.78 × 331.25
  4. Step 4: Simplify right side
    567.23x = 259,290.30
  5. Step 5: Solve for x
    x = 259,290.30/567.23
  6. Step 6: Final answer
    x = 457.12

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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.