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Finding the Fourth Proportional to 567.29, 849.17 and 362.03

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Solution

The fourth proportional to 567.29, 849.17 and 362.03 is: 541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.29 : 849.17 = 362.03 : x
  2. Step 2: Convert to fraction form
    567.29/849.17 = 362.03/x
  3. Step 3: Cross multiply
    567.29x = 849.17 × 362.03
  4. Step 4: Simplify right side
    567.29x = 307,421.67
  5. Step 5: Solve for x
    x = 307,421.67/567.29
  6. Step 6: Final answer
    x = 541.91

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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.