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Finding the Fourth Proportional to 567.87, 783.68 and 331.78

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Solution

The fourth proportional to 567.87, 783.68 and 331.78 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 783.68 = 331.78 : x
  2. Step 2: Convert to fraction form
    567.87/783.68 = 331.78/x
  3. Step 3: Cross multiply
    567.87x = 783.68 × 331.78
  4. Step 4: Simplify right side
    567.87x = 260,005.73
  5. Step 5: Solve for x
    x = 260,005.73/567.87
  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.