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Finding the Fourth Proportional to 537.72, 742.98 and 390.84

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Solution

The fourth proportional to 537.72, 742.98 and 390.84 is: 540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 742.98 = 390.84 : x
  2. Step 2: Convert to fraction form
    537.72/742.98 = 390.84/x
  3. Step 3: Cross multiply
    537.72x = 742.98 × 390.84
  4. Step 4: Simplify right side
    537.72x = 290,386.30
  5. Step 5: Solve for x
    x = 290,386.30/537.72
  6. Step 6: Final answer
    x = 540.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.