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Finding the Fourth Proportional to 541.52, 811.65 and 264.01

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Solution

The fourth proportional to 541.52, 811.65 and 264.01 is: 395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 811.65 = 264.01 : x
  2. Step 2: Convert to fraction form
    541.52/811.65 = 264.01/x
  3. Step 3: Cross multiply
    541.52x = 811.65 × 264.01
  4. Step 4: Simplify right side
    541.52x = 214,283.72
  5. Step 5: Solve for x
    x = 214,283.72/541.52
  6. Step 6: Final answer
    x = 395.71

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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.