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Finding the Fourth Proportional to 663.17, 994.59 and 297.72

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Solution

The fourth proportional to 663.17, 994.59 and 297.72 is: 446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.17 : 994.59 = 297.72 : x
  2. Step 2: Convert to fraction form
    663.17/994.59 = 297.72/x
  3. Step 3: Cross multiply
    663.17x = 994.59 × 297.72
  4. Step 4: Simplify right side
    663.17x = 296,109.33
  5. Step 5: Solve for x
    x = 296,109.33/663.17
  6. Step 6: Final answer
    x = 446.51

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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.