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Finding the Fourth Proportional to 541.50, 747 and 320.34

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Solution

The fourth proportional to 541.50, 747 and 320.34 is: 441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.50 : 747 = 320.34 : x
  2. Step 2: Convert to fraction form
    541.50/747 = 320.34/x
  3. Step 3: Cross multiply
    541.50x = 747 × 320.34
  4. Step 4: Simplify right side
    541.50x = 239,293.98
  5. Step 5: Solve for x
    x = 239,293.98/541.50
  6. Step 6: Final answer
    x = 441.91

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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.