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Finding the Fourth Proportional to 319.80, 478.74 and 246.62

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Solution

The fourth proportional to 319.80, 478.74 and 246.62 is: 369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 478.74 = 246.62 : x
  2. Step 2: Convert to fraction form
    319.80/478.74 = 246.62/x
  3. Step 3: Cross multiply
    319.80x = 478.74 × 246.62
  4. Step 4: Simplify right side
    319.80x = 118,066.86
  5. Step 5: Solve for x
    x = 118,066.86/319.80
  6. Step 6: Final answer
    x = 369.19

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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.