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Finding the Fourth Proportional to 319.95, 478.78 and 277.09

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Solution

The fourth proportional to 319.95, 478.78 and 277.09 is: 414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 478.78 = 277.09 : x
  2. Step 2: Convert to fraction form
    319.95/478.78 = 277.09/x
  3. Step 3: Cross multiply
    319.95x = 478.78 × 277.09
  4. Step 4: Simplify right side
    319.95x = 132,663.26
  5. Step 5: Solve for x
    x = 132,663.26/319.95
  6. Step 6: Final answer
    x = 414.64

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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.