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Finding the Fourth Proportional to 459.49, 633.95 and 262.96

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Solution

The fourth proportional to 459.49, 633.95 and 262.96 is: 362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 633.95 = 262.96 : x
  2. Step 2: Convert to fraction form
    459.49/633.95 = 262.96/x
  3. Step 3: Cross multiply
    459.49x = 633.95 × 262.96
  4. Step 4: Simplify right side
    459.49x = 166,706.53
  5. Step 5: Solve for x
    x = 166,706.53/459.49
  6. Step 6: Final answer
    x = 362.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.