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Finding the Fourth Proportional to 541.13, 740.33 and 538.82

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Solution

The fourth proportional to 541.13, 740.33 and 538.82 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.13 : 740.33 = 538.82 : x
  2. Step 2: Convert to fraction form
    541.13/740.33 = 538.82/x
  3. Step 3: Cross multiply
    541.13x = 740.33 × 538.82
  4. Step 4: Simplify right side
    541.13x = 398,898.21
  5. Step 5: Solve for x
    x = 398,898.21/541.13
  6. Step 6: Final answer
    x = 737.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.