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Finding the Fourth Proportional to 464.73, 697.15 and 156.52

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Solution

The fourth proportional to 464.73, 697.15 and 156.52 is: 234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.73 : 697.15 = 156.52 : x
  2. Step 2: Convert to fraction form
    464.73/697.15 = 156.52/x
  3. Step 3: Cross multiply
    464.73x = 697.15 × 156.52
  4. Step 4: Simplify right side
    464.73x = 109,116.57
  5. Step 5: Solve for x
    x = 109,116.57/464.73
  6. Step 6: Final answer
    x = 234.80

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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.