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Finding the Fourth Proportional to 478.04, 716.34 and 234.27

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Solution

The fourth proportional to 478.04, 716.34 and 234.27 is: 351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 716.34 = 234.27 : x
  2. Step 2: Convert to fraction form
    478.04/716.34 = 234.27/x
  3. Step 3: Cross multiply
    478.04x = 716.34 × 234.27
  4. Step 4: Simplify right side
    478.04x = 167,816.97
  5. Step 5: Solve for x
    x = 167,816.97/478.04
  6. Step 6: Final answer
    x = 351.05

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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.