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Finding the Fourth Proportional to 459.30, 633.66 and 262.78

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Solution

The fourth proportional to 459.30, 633.66 and 262.78 is: 362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 633.66 = 262.78 : x
  2. Step 2: Convert to fraction form
    459.30/633.66 = 262.78/x
  3. Step 3: Cross multiply
    459.30x = 633.66 × 262.78
  4. Step 4: Simplify right side
    459.30x = 166,510.61
  5. Step 5: Solve for x
    x = 166,510.61/459.30
  6. Step 6: Final answer
    x = 362.53

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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.