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Finding the Fourth Proportional to 541.81, 812.49 and 336.07

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Solution

The fourth proportional to 541.81, 812.49 and 336.07 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.81 : 812.49 = 336.07 : x
  2. Step 2: Convert to fraction form
    541.81/812.49 = 336.07/x
  3. Step 3: Cross multiply
    541.81x = 812.49 × 336.07
  4. Step 4: Simplify right side
    541.81x = 273,053.51
  5. Step 5: Solve for x
    x = 273,053.51/541.81
  6. Step 6: Final answer
    x = 503.97

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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.