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Finding the Fourth Proportional to 537.94, 742.40 and 305.07

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Solution

The fourth proportional to 537.94, 742.40 and 305.07 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.94 : 742.40 = 305.07 : x
  2. Step 2: Convert to fraction form
    537.94/742.40 = 305.07/x
  3. Step 3: Cross multiply
    537.94x = 742.40 × 305.07
  4. Step 4: Simplify right side
    537.94x = 226,483.97
  5. Step 5: Solve for x
    x = 226,483.97/537.94
  6. Step 6: Final answer
    x = 421.02

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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.