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Finding the Fourth Proportional to 567.11, 849.04 and 384.18

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Solution

The fourth proportional to 567.11, 849.04 and 384.18 is: 575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.11 : 849.04 = 384.18 : x
  2. Step 2: Convert to fraction form
    567.11/849.04 = 384.18/x
  3. Step 3: Cross multiply
    567.11x = 849.04 × 384.18
  4. Step 4: Simplify right side
    567.11x = 326,180.04
  5. Step 5: Solve for x
    x = 326,180.04/567.11
  6. Step 6: Final answer
    x = 575.17

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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.