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Finding the Fourth Proportional to 540.94, 746.54 and 308.06

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Solution

The fourth proportional to 540.94, 746.54 and 308.06 is: 425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 746.54 = 308.06 : x
  2. Step 2: Convert to fraction form
    540.94/746.54 = 308.06/x
  3. Step 3: Cross multiply
    540.94x = 746.54 × 308.06
  4. Step 4: Simplify right side
    540.94x = 229,979.11
  5. Step 5: Solve for x
    x = 229,979.11/540.94
  6. Step 6: Final answer
    x = 425.15

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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.