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Finding the Fourth Proportional to 541.06, 746.64 and 320.02

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Solution

The fourth proportional to 541.06, 746.64 and 320.02 is: 441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 746.64 = 320.02 : x
  2. Step 2: Convert to fraction form
    541.06/746.64 = 320.02/x
  3. Step 3: Cross multiply
    541.06x = 746.64 × 320.02
  4. Step 4: Simplify right side
    541.06x = 238,939.73
  5. Step 5: Solve for x
    x = 238,939.73/541.06
  6. Step 6: Final answer
    x = 441.61

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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.