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Finding the Fourth Proportional to 468.32, 701.87 and 301.46

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Solution

The fourth proportional to 468.32, 701.87 and 301.46 is: 451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 701.87 = 301.46 : x
  2. Step 2: Convert to fraction form
    468.32/701.87 = 301.46/x
  3. Step 3: Cross multiply
    468.32x = 701.87 × 301.46
  4. Step 4: Simplify right side
    468.32x = 211,580.71
  5. Step 5: Solve for x
    x = 211,580.71/468.32
  6. Step 6: Final answer
    x = 451.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.