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Finding the Fourth Proportional to 541, 746.61 and 308.14

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Solution

The fourth proportional to 541, 746.61 and 308.14 is: 425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 746.61 = 308.14 : x
  2. Step 2: Convert to fraction form
    541/746.61 = 308.14/x
  3. Step 3: Cross multiply
    541x = 746.61 × 308.14
  4. Step 4: Simplify right side
    541x = 230,060.41
  5. Step 5: Solve for x
    x = 230,060.41/541
  6. Step 6: Final answer
    x = 425.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.