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Finding the Fourth Proportional to 541.16, 746.63 and 320.03

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Solution

The fourth proportional to 541.16, 746.63 and 320.03 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.16 : 746.63 = 320.03 : x
  2. Step 2: Convert to fraction form
    541.16/746.63 = 320.03/x
  3. Step 3: Cross multiply
    541.16x = 746.63 × 320.03
  4. Step 4: Simplify right side
    541.16x = 238,944.00
  5. Step 5: Solve for x
    x = 238,944.00/541.16
  6. Step 6: Final answer
    x = 441.54

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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.