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Finding the Fourth Proportional to 567.88, 784.18 and 371.86

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Solution

The fourth proportional to 567.88, 784.18 and 371.86 is: 513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 784.18 = 371.86 : x
  2. Step 2: Convert to fraction form
    567.88/784.18 = 371.86/x
  3. Step 3: Cross multiply
    567.88x = 784.18 × 371.86
  4. Step 4: Simplify right side
    567.88x = 291,603.68
  5. Step 5: Solve for x
    x = 291,603.68/567.88
  6. Step 6: Final answer
    x = 513.50

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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.