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Finding the Fourth Proportional to 319.17, 478.08 and 314.31

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Solution

The fourth proportional to 319.17, 478.08 and 314.31 is: 470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.17 : 478.08 = 314.31 : x
  2. Step 2: Convert to fraction form
    319.17/478.08 = 314.31/x
  3. Step 3: Cross multiply
    319.17x = 478.08 × 314.31
  4. Step 4: Simplify right side
    319.17x = 150,265.32
  5. Step 5: Solve for x
    x = 150,265.32/319.17
  6. Step 6: Final answer
    x = 470.80

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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.