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Finding the Fourth Proportional to 541.40, 747.30 and 331.64

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Solution

The fourth proportional to 541.40, 747.30 and 331.64 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 747.30 = 331.64 : x
  2. Step 2: Convert to fraction form
    541.40/747.30 = 331.64/x
  3. Step 3: Cross multiply
    541.40x = 747.30 × 331.64
  4. Step 4: Simplify right side
    541.40x = 247,834.57
  5. Step 5: Solve for x
    x = 247,834.57/541.40
  6. Step 6: Final answer
    x = 457.77

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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.