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Finding the Fourth Proportional to 468.16, 701.74 and 305.96

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Solution

The fourth proportional to 468.16, 701.74 and 305.96 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 701.74 = 305.96 : x
  2. Step 2: Convert to fraction form
    468.16/701.74 = 305.96/x
  3. Step 3: Cross multiply
    468.16x = 701.74 × 305.96
  4. Step 4: Simplify right side
    468.16x = 214,704.37
  5. Step 5: Solve for x
    x = 214,704.37/468.16
  6. Step 6: Final answer
    x = 458.61

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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.