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Finding the Fourth Proportional to 541.61, 813.10 and 282.14

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Solution

The fourth proportional to 541.61, 813.10 and 282.14 is: 423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.61 : 813.10 = 282.14 : x
  2. Step 2: Convert to fraction form
    541.61/813.10 = 282.14/x
  3. Step 3: Cross multiply
    541.61x = 813.10 × 282.14
  4. Step 4: Simplify right side
    541.61x = 229,408.03
  5. Step 5: Solve for x
    x = 229,408.03/541.61
  6. Step 6: Final answer
    x = 423.57

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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.