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Finding the Fourth Proportional to 663.01, 993.49 and 354.91

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Solution

The fourth proportional to 663.01, 993.49 and 354.91 is: 531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.01 : 993.49 = 354.91 : x
  2. Step 2: Convert to fraction form
    663.01/993.49 = 354.91/x
  3. Step 3: Cross multiply
    663.01x = 993.49 × 354.91
  4. Step 4: Simplify right side
    663.01x = 352,599.54
  5. Step 5: Solve for x
    x = 352,599.54/663.01
  6. Step 6: Final answer
    x = 531.82

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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.