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Finding the Fourth Proportional to 540.97, 746.58 and 320.04

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Solution

The fourth proportional to 540.97, 746.58 and 320.04 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.97 : 746.58 = 320.04 : x
  2. Step 2: Convert to fraction form
    540.97/746.58 = 320.04/x
  3. Step 3: Cross multiply
    540.97x = 746.58 × 320.04
  4. Step 4: Simplify right side
    540.97x = 238,935.46
  5. Step 5: Solve for x
    x = 238,935.46/540.97
  6. Step 6: Final answer
    x = 441.68

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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.