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Finding the Fourth Proportional to 567.86, 850.30 and 372.25

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Solution

The fourth proportional to 567.86, 850.30 and 372.25 is: 557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 850.30 = 372.25 : x
  2. Step 2: Convert to fraction form
    567.86/850.30 = 372.25/x
  3. Step 3: Cross multiply
    567.86x = 850.30 × 372.25
  4. Step 4: Simplify right side
    567.86x = 316,519.92
  5. Step 5: Solve for x
    x = 316,519.92/567.86
  6. Step 6: Final answer
    x = 557.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.