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Finding the Fourth Proportional to 541.84, 814.40 and 412.24

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Solution

The fourth proportional to 541.84, 814.40 and 412.24 is: 619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 814.40 = 412.24 : x
  2. Step 2: Convert to fraction form
    541.84/814.40 = 412.24/x
  3. Step 3: Cross multiply
    541.84x = 814.40 × 412.24
  4. Step 4: Simplify right side
    541.84x = 335,728.26
  5. Step 5: Solve for x
    x = 335,728.26/541.84
  6. Step 6: Final answer
    x = 619.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.