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Finding the Fourth Proportional to 483.29, 666.93 and 262.25

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Solution

The fourth proportional to 483.29, 666.93 and 262.25 is: 361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.29 : 666.93 = 262.25 : x
  2. Step 2: Convert to fraction form
    483.29/666.93 = 262.25/x
  3. Step 3: Cross multiply
    483.29x = 666.93 × 262.25
  4. Step 4: Simplify right side
    483.29x = 174,899.06
  5. Step 5: Solve for x
    x = 174,899.06/483.29
  6. Step 6: Final answer
    x = 361.90

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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.