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Finding the Fourth Proportional to 464.62, 697.02 and 156.46

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Solution

The fourth proportional to 464.62, 697.02 and 156.46 is: 234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 697.02 = 156.46 : x
  2. Step 2: Convert to fraction form
    464.62/697.02 = 156.46/x
  3. Step 3: Cross multiply
    464.62x = 697.02 × 156.46
  4. Step 4: Simplify right side
    464.62x = 109,055.75
  5. Step 5: Solve for x
    x = 109,055.75/464.62
  6. Step 6: Final answer
    x = 234.72

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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.