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Finding the Fourth Proportional to 419.43, 579.16 and 262.25

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Solution

The fourth proportional to 419.43, 579.16 and 262.25 is: 362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 579.16 = 262.25 : x
  2. Step 2: Convert to fraction form
    419.43/579.16 = 262.25/x
  3. Step 3: Cross multiply
    419.43x = 579.16 × 262.25
  4. Step 4: Simplify right side
    419.43x = 151,884.71
  5. Step 5: Solve for x
    x = 151,884.71/419.43
  6. Step 6: Final answer
    x = 362.12

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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.