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Finding the Fourth Proportional to 537.90, 742.31 and 305.02

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Solution

The fourth proportional to 537.90, 742.31 and 305.02 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.90 : 742.31 = 305.02 : x
  2. Step 2: Convert to fraction form
    537.90/742.31 = 305.02/x
  3. Step 3: Cross multiply
    537.90x = 742.31 × 305.02
  4. Step 4: Simplify right side
    537.90x = 226,419.40
  5. Step 5: Solve for x
    x = 226,419.40/537.90
  6. Step 6: Final answer
    x = 420.93

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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.