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Finding the Fourth Proportional to 464.53, 696.87 and 156.28

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Solution

The fourth proportional to 464.53, 696.87 and 156.28 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.53 : 696.87 = 156.28 : x
  2. Step 2: Convert to fraction form
    464.53/696.87 = 156.28/x
  3. Step 3: Cross multiply
    464.53x = 696.87 × 156.28
  4. Step 4: Simplify right side
    464.53x = 108,906.84
  5. Step 5: Solve for x
    x = 108,906.84/464.53
  6. Step 6: Final answer
    x = 234.45

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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.