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Finding the Fourth Proportional to 316.80, 478.07 and 305.36

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Solution

The fourth proportional to 316.80, 478.07 and 305.36 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 478.07 = 305.36 : x
  2. Step 2: Convert to fraction form
    316.80/478.07 = 305.36/x
  3. Step 3: Cross multiply
    316.80x = 478.07 × 305.36
  4. Step 4: Simplify right side
    316.80x = 145,983.12
  5. Step 5: Solve for x
    x = 145,983.12/316.80
  6. Step 6: Final answer
    x = 460.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.