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Finding the Fourth Proportional to 567.85, 849.96 and 336.17

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Solution

The fourth proportional to 567.85, 849.96 and 336.17 is: 503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.85 : 849.96 = 336.17 : x
  2. Step 2: Convert to fraction form
    567.85/849.96 = 336.17/x
  3. Step 3: Cross multiply
    567.85x = 849.96 × 336.17
  4. Step 4: Simplify right side
    567.85x = 285,731.05
  5. Step 5: Solve for x
    x = 285,731.05/567.85
  6. Step 6: Final answer
    x = 503.18

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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.