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Finding the Fourth Proportional to 537.61, 742.01 and 341.08

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Solution

The fourth proportional to 537.61, 742.01 and 341.08 is: 470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.61 : 742.01 = 341.08 : x
  2. Step 2: Convert to fraction form
    537.61/742.01 = 341.08/x
  3. Step 3: Cross multiply
    537.61x = 742.01 × 341.08
  4. Step 4: Simplify right side
    537.61x = 253,085.62
  5. Step 5: Solve for x
    x = 253,085.62/537.61
  6. Step 6: Final answer
    x = 470.76

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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.