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Finding the Fourth Proportional to 541.36, 812.76 and 310.48

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Solution

The fourth proportional to 541.36, 812.76 and 310.48 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.36 : 812.76 = 310.48 : x
  2. Step 2: Convert to fraction form
    541.36/812.76 = 310.48/x
  3. Step 3: Cross multiply
    541.36x = 812.76 × 310.48
  4. Step 4: Simplify right side
    541.36x = 252,345.72
  5. Step 5: Solve for x
    x = 252,345.72/541.36
  6. Step 6: Final answer
    x = 466.13

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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.