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Finding the Fourth Proportional to 537.13, 806.38 and 446.93

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Solution

The fourth proportional to 537.13, 806.38 and 446.93 is: 670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.13 : 806.38 = 446.93 : x
  2. Step 2: Convert to fraction form
    537.13/806.38 = 446.93/x
  3. Step 3: Cross multiply
    537.13x = 806.38 × 446.93
  4. Step 4: Simplify right side
    537.13x = 360,393.18
  5. Step 5: Solve for x
    x = 360,393.18/537.13
  6. Step 6: Final answer
    x = 670.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.