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Finding the Fourth Proportional to 546.68, 822.08 and 464.67

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Solution

The fourth proportional to 546.68, 822.08 and 464.67 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 822.08 = 464.67 : x
  2. Step 2: Convert to fraction form
    546.68/822.08 = 464.67/x
  3. Step 3: Cross multiply
    546.68x = 822.08 × 464.67
  4. Step 4: Simplify right side
    546.68x = 381,997.08
  5. Step 5: Solve for x
    x = 381,997.08/546.68
  6. Step 6: Final answer
    x = 698.75

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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.