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Finding the Fourth Proportional to 666.23, 997.29 and 567.82

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Solution

The fourth proportional to 666.23, 997.29 and 567.82 is: 849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.23 : 997.29 = 567.82 : x
  2. Step 2: Convert to fraction form
    666.23/997.29 = 567.82/x
  3. Step 3: Cross multiply
    666.23x = 997.29 × 567.82
  4. Step 4: Simplify right side
    666.23x = 566,281.21
  5. Step 5: Solve for x
    x = 566,281.21/666.23
  6. Step 6: Final answer
    x = 849.98

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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.