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Finding the Fourth Proportional to 463.42, 695.13 and 155.23

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Solution

The fourth proportional to 463.42, 695.13 and 155.23 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.42 : 695.13 = 155.23 : x
  2. Step 2: Convert to fraction form
    463.42/695.13 = 155.23/x
  3. Step 3: Cross multiply
    463.42x = 695.13 × 155.23
  4. Step 4: Simplify right side
    463.42x = 107,905.03
  5. Step 5: Solve for x
    x = 107,905.03/463.42
  6. Step 6: Final answer
    x = 232.85

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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.