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Finding the Fourth Proportional to 567.46, 782.38 and 367.96

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Solution

The fourth proportional to 567.46, 782.38 and 367.96 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 782.38 = 367.96 : x
  2. Step 2: Convert to fraction form
    567.46/782.38 = 367.96/x
  3. Step 3: Cross multiply
    567.46x = 782.38 × 367.96
  4. Step 4: Simplify right side
    567.46x = 287,884.54
  5. Step 5: Solve for x
    x = 287,884.54/567.46
  6. Step 6: Final answer
    x = 507.32

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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.