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Finding the Fourth Proportional to 540.57, 746.00 and 304.49

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Solution

The fourth proportional to 540.57, 746.00 and 304.49 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.57 : 746.00 = 304.49 : x
  2. Step 2: Convert to fraction form
    540.57/746.00 = 304.49/x
  3. Step 3: Cross multiply
    540.57x = 746.00 × 304.49
  4. Step 4: Simplify right side
    540.57x = 227,144.29
  5. Step 5: Solve for x
    x = 227,144.29/540.57
  6. Step 6: Final answer
    x = 420.19

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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.