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Finding the Fourth Proportional to 541.68, 747.72 and 411.63

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Solution

The fourth proportional to 541.68, 747.72 and 411.63 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 747.72 = 411.63 : x
  2. Step 2: Convert to fraction form
    541.68/747.72 = 411.63/x
  3. Step 3: Cross multiply
    541.68x = 747.72 × 411.63
  4. Step 4: Simplify right side
    541.68x = 307,783.98
  5. Step 5: Solve for x
    x = 307,783.98/541.68
  6. Step 6: Final answer
    x = 568.20

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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.