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Finding the Fourth Proportional to 464.56, 696.72 and 156.40

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Solution

The fourth proportional to 464.56, 696.72 and 156.40 is: 234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.56 : 696.72 = 156.40 : x
  2. Step 2: Convert to fraction form
    464.56/696.72 = 156.40/x
  3. Step 3: Cross multiply
    464.56x = 696.72 × 156.40
  4. Step 4: Simplify right side
    464.56x = 108,967.01
  5. Step 5: Solve for x
    x = 108,967.01/464.56
  6. Step 6: Final answer
    x = 234.56

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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.