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Finding the Fourth Proportional to 471.11, 701.39 and 468.83

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Solution

The fourth proportional to 471.11, 701.39 and 468.83 is: 697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.11 : 701.39 = 468.83 : x
  2. Step 2: Convert to fraction form
    471.11/701.39 = 468.83/x
  3. Step 3: Cross multiply
    471.11x = 701.39 × 468.83
  4. Step 4: Simplify right side
    471.11x = 328,828.58
  5. Step 5: Solve for x
    x = 328,828.58/471.11
  6. Step 6: Final answer
    x = 697.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.