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Finding the Fourth Proportional to 541.24, 747.26 and 482.92

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Solution

The fourth proportional to 541.24, 747.26 and 482.92 is: 666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 747.26 = 482.92 : x
  2. Step 2: Convert to fraction form
    541.24/747.26 = 482.92/x
  3. Step 3: Cross multiply
    541.24x = 747.26 × 482.92
  4. Step 4: Simplify right side
    541.24x = 360,866.80
  5. Step 5: Solve for x
    x = 360,866.80/541.24
  6. Step 6: Final answer
    x = 666.74

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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.