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Finding the Fourth Proportional to 320.62, 477.70 and 299.66

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Solution

The fourth proportional to 320.62, 477.70 and 299.66 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.62 : 477.70 = 299.66 : x
  2. Step 2: Convert to fraction form
    320.62/477.70 = 299.66/x
  3. Step 3: Cross multiply
    320.62x = 477.70 × 299.66
  4. Step 4: Simplify right side
    320.62x = 143,147.58
  5. Step 5: Solve for x
    x = 143,147.58/320.62
  6. Step 6: Final answer
    x = 446.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.