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Finding the Fourth Proportional to 541.68, 811.14 and 388.59

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Solution

The fourth proportional to 541.68, 811.14 and 388.59 is: 581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 811.14 = 388.59 : x
  2. Step 2: Convert to fraction form
    541.68/811.14 = 388.59/x
  3. Step 3: Cross multiply
    541.68x = 811.14 × 388.59
  4. Step 4: Simplify right side
    541.68x = 315,200.89
  5. Step 5: Solve for x
    x = 315,200.89/541.68
  6. Step 6: Final answer
    x = 581.90

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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.