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Finding the Fourth Proportional to 567.37, 852.04 and 337.70

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Solution

The fourth proportional to 567.37, 852.04 and 337.70 is: 507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.37 : 852.04 = 337.70 : x
  2. Step 2: Convert to fraction form
    567.37/852.04 = 337.70/x
  3. Step 3: Cross multiply
    567.37x = 852.04 × 337.70
  4. Step 4: Simplify right side
    567.37x = 287,734.56
  5. Step 5: Solve for x
    x = 287,734.56/567.37
  6. Step 6: Final answer
    x = 507.14

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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.