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Finding the Fourth Proportional to 552.82, 829.82 and 322.17

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Solution

The fourth proportional to 552.82, 829.82 and 322.17 is: 483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.82 : 829.82 = 322.17 : x
  2. Step 2: Convert to fraction form
    552.82/829.82 = 322.17/x
  3. Step 3: Cross multiply
    552.82x = 829.82 × 322.17
  4. Step 4: Simplify right side
    552.82x = 267,343.11
  5. Step 5: Solve for x
    x = 267,343.11/552.82
  6. Step 6: Final answer
    x = 483.60

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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.