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Finding the Fourth Proportional to 541, 812.13 and 252.46

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Solution

The fourth proportional to 541, 812.13 and 252.46 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 812.13 = 252.46 : x
  2. Step 2: Convert to fraction form
    541/812.13 = 252.46/x
  3. Step 3: Cross multiply
    541x = 812.13 × 252.46
  4. Step 4: Simplify right side
    541x = 205,030.34
  5. Step 5: Solve for x
    x = 205,030.34/541
  6. Step 6: Final answer
    x = 378.98

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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.