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Finding the Fourth Proportional to 541.28, 746.94 and 355.08

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Solution

The fourth proportional to 541.28, 746.94 and 355.08 is: 489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.28 : 746.94 = 355.08 : x
  2. Step 2: Convert to fraction form
    541.28/746.94 = 355.08/x
  3. Step 3: Cross multiply
    541.28x = 746.94 × 355.08
  4. Step 4: Simplify right side
    541.28x = 265,223.46
  5. Step 5: Solve for x
    x = 265,223.46/541.28
  6. Step 6: Final answer
    x = 489.99

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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.