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Finding the Fourth Proportional to 471.93, 651.17 and 285.39

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Solution

The fourth proportional to 471.93, 651.17 and 285.39 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.93 : 651.17 = 285.39 : x
  2. Step 2: Convert to fraction form
    471.93/651.17 = 285.39/x
  3. Step 3: Cross multiply
    471.93x = 651.17 × 285.39
  4. Step 4: Simplify right side
    471.93x = 185,838.12
  5. Step 5: Solve for x
    x = 185,838.12/471.93
  6. Step 6: Final answer
    x = 393.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.