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Finding the Fourth Proportional to 463.81, 695.36 and 281.16

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Solution

The fourth proportional to 463.81, 695.36 and 281.16 is: 421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.81 : 695.36 = 281.16 : x
  2. Step 2: Convert to fraction form
    463.81/695.36 = 281.16/x
  3. Step 3: Cross multiply
    463.81x = 695.36 × 281.16
  4. Step 4: Simplify right side
    463.81x = 195,507.42
  5. Step 5: Solve for x
    x = 195,507.42/463.81
  6. Step 6: Final answer
    x = 421.52

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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.