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Finding the Fourth Proportional to 541.02, 746.58 and 319.92

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Solution

The fourth proportional to 541.02, 746.58 and 319.92 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.02 : 746.58 = 319.92 : x
  2. Step 2: Convert to fraction form
    541.02/746.58 = 319.92/x
  3. Step 3: Cross multiply
    541.02x = 746.58 × 319.92
  4. Step 4: Simplify right side
    541.02x = 238,845.87
  5. Step 5: Solve for x
    x = 238,845.87/541.02
  6. Step 6: Final answer
    x = 441.47

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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.