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Finding the Fourth Proportional to 567.24, 851.22 and 380.04

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Solution

The fourth proportional to 567.24, 851.22 and 380.04 is: 570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 851.22 = 380.04 : x
  2. Step 2: Convert to fraction form
    567.24/851.22 = 380.04/x
  3. Step 3: Cross multiply
    567.24x = 851.22 × 380.04
  4. Step 4: Simplify right side
    567.24x = 323,497.65
  5. Step 5: Solve for x
    x = 323,497.65/567.24
  6. Step 6: Final answer
    x = 570.30

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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.