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Finding the Fourth Proportional to 471.86, 651.37 and 442.34

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Solution

The fourth proportional to 471.86, 651.37 and 442.34 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.86 : 651.37 = 442.34 : x
  2. Step 2: Convert to fraction form
    471.86/651.37 = 442.34/x
  3. Step 3: Cross multiply
    471.86x = 651.37 × 442.34
  4. Step 4: Simplify right side
    471.86x = 288,127.01
  5. Step 5: Solve for x
    x = 288,127.01/471.86
  6. Step 6: Final answer
    x = 610.62

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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.