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Finding the Fourth Proportional to 478.96, 718.01 and 232.01

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Solution

The fourth proportional to 478.96, 718.01 and 232.01 is: 347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 718.01 = 232.01 : x
  2. Step 2: Convert to fraction form
    478.96/718.01 = 232.01/x
  3. Step 3: Cross multiply
    478.96x = 718.01 × 232.01
  4. Step 4: Simplify right side
    478.96x = 166,589.66
  5. Step 5: Solve for x
    x = 166,589.66/478.96
  6. Step 6: Final answer
    x = 347.81

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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.