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Finding the Fourth Proportional to 541.41, 746.96 and 355.01

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Solution

The fourth proportional to 541.41, 746.96 and 355.01 is: 489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.41 : 746.96 = 355.01 : x
  2. Step 2: Convert to fraction form
    541.41/746.96 = 355.01/x
  3. Step 3: Cross multiply
    541.41x = 746.96 × 355.01
  4. Step 4: Simplify right side
    541.41x = 265,172.76
  5. Step 5: Solve for x
    x = 265,172.76/541.41
  6. Step 6: Final answer
    x = 489.79

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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.