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Finding the Fourth Proportional to 541.20, 811.32 and 459.46

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Solution

The fourth proportional to 541.20, 811.32 and 459.46 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.20 : 811.32 = 459.46 : x
  2. Step 2: Convert to fraction form
    541.20/811.32 = 459.46/x
  3. Step 3: Cross multiply
    541.20x = 811.32 × 459.46
  4. Step 4: Simplify right side
    541.20x = 372,763.81
  5. Step 5: Solve for x
    x = 372,763.81/541.20
  6. Step 6: Final answer
    x = 688.78

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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.