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Finding the Fourth Proportional to 552, 829.89 and 506.46

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Solution

The fourth proportional to 552, 829.89 and 506.46 is: 761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552 : 829.89 = 506.46 : x
  2. Step 2: Convert to fraction form
    552/829.89 = 506.46/x
  3. Step 3: Cross multiply
    552x = 829.89 × 506.46
  4. Step 4: Simplify right side
    552x = 420,306.09
  5. Step 5: Solve for x
    x = 420,306.09/552
  6. Step 6: Final answer
    x = 761.42

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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.