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Finding the Fourth Proportional to 567.88, 783.90 and 371.56

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Solution

The fourth proportional to 567.88, 783.90 and 371.56 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 783.90 = 371.56 : x
  2. Step 2: Convert to fraction form
    567.88/783.90 = 371.56/x
  3. Step 3: Cross multiply
    567.88x = 783.90 × 371.56
  4. Step 4: Simplify right side
    567.88x = 291,265.88
  5. Step 5: Solve for x
    x = 291,265.88/567.88
  6. Step 6: Final answer
    x = 512.90

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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.