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Finding the Fourth Proportional to 319.66, 480.40 and 297.99

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Solution

The fourth proportional to 319.66, 480.40 and 297.99 is: 447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.66 : 480.40 = 297.99 : x
  2. Step 2: Convert to fraction form
    319.66/480.40 = 297.99/x
  3. Step 3: Cross multiply
    319.66x = 480.40 × 297.99
  4. Step 4: Simplify right side
    319.66x = 143,154.40
  5. Step 5: Solve for x
    x = 143,154.40/319.66
  6. Step 6: Final answer
    x = 447.84

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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.