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Finding the Fourth Proportional to 540.71, 746.16 and 304.66

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Solution

The fourth proportional to 540.71, 746.16 and 304.66 is: 420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.71 : 746.16 = 304.66 : x
  2. Step 2: Convert to fraction form
    540.71/746.16 = 304.66/x
  3. Step 3: Cross multiply
    540.71x = 746.16 × 304.66
  4. Step 4: Simplify right side
    540.71x = 227,326.61
  5. Step 5: Solve for x
    x = 227,326.61/540.71
  6. Step 6: Final answer
    x = 420.42

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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.