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Finding the Fourth Proportional to 458.84, 633.05 and 262.22

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Solution

The fourth proportional to 458.84, 633.05 and 262.22 is: 361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 633.05 = 262.22 : x
  2. Step 2: Convert to fraction form
    458.84/633.05 = 262.22/x
  3. Step 3: Cross multiply
    458.84x = 633.05 × 262.22
  4. Step 4: Simplify right side
    458.84x = 165,993.89
  5. Step 5: Solve for x
    x = 165,993.89/458.84
  6. Step 6: Final answer
    x = 361.77

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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.