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Finding the Fourth Proportional to 471.98, 651.04 and 294.86

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Solution

The fourth proportional to 471.98, 651.04 and 294.86 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.98 : 651.04 = 294.86 : x
  2. Step 2: Convert to fraction form
    471.98/651.04 = 294.86/x
  3. Step 3: Cross multiply
    471.98x = 651.04 × 294.86
  4. Step 4: Simplify right side
    471.98x = 191,966.54
  5. Step 5: Solve for x
    x = 191,966.54/471.98
  6. Step 6: Final answer
    x = 406.72

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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.