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Finding the Fourth Proportional to 319.83, 477.44 and 278.81

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Solution

The fourth proportional to 319.83, 477.44 and 278.81 is: 416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.83 : 477.44 = 278.81 : x
  2. Step 2: Convert to fraction form
    319.83/477.44 = 278.81/x
  3. Step 3: Cross multiply
    319.83x = 477.44 × 278.81
  4. Step 4: Simplify right side
    319.83x = 133,114.85
  5. Step 5: Solve for x
    x = 133,114.85/319.83
  6. Step 6: Final answer
    x = 416.21

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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.