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Finding the Fourth Proportional to 567.88, 852.07 and 337.22

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Solution

The fourth proportional to 567.88, 852.07 and 337.22 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 852.07 = 337.22 : x
  2. Step 2: Convert to fraction form
    567.88/852.07 = 337.22/x
  3. Step 3: Cross multiply
    567.88x = 852.07 × 337.22
  4. Step 4: Simplify right side
    567.88x = 287,335.05
  5. Step 5: Solve for x
    x = 287,335.05/567.88
  6. Step 6: Final answer
    x = 505.98

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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.