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Finding the Fourth Proportional to 537.16, 741.16 and 350.68

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Solution

The fourth proportional to 537.16, 741.16 and 350.68 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.16 : 741.16 = 350.68 : x
  2. Step 2: Convert to fraction form
    537.16/741.16 = 350.68/x
  3. Step 3: Cross multiply
    537.16x = 741.16 × 350.68
  4. Step 4: Simplify right side
    537.16x = 259,909.99
  5. Step 5: Solve for x
    x = 259,909.99/537.16
  6. Step 6: Final answer
    x = 483.86

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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.