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Finding the Fourth Proportional to 471.77, 708.12 and 298.78

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Solution

The fourth proportional to 471.77, 708.12 and 298.78 is: 448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.77 : 708.12 = 298.78 : x
  2. Step 2: Convert to fraction form
    471.77/708.12 = 298.78/x
  3. Step 3: Cross multiply
    471.77x = 708.12 × 298.78
  4. Step 4: Simplify right side
    471.77x = 211,570.32
  5. Step 5: Solve for x
    x = 211,570.32/471.77
  6. Step 6: Final answer
    x = 448.46

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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.