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Finding the Fourth Proportional to 537.15, 805.99 and 263.24

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Solution

The fourth proportional to 537.15, 805.99 and 263.24 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.15 : 805.99 = 263.24 : x
  2. Step 2: Convert to fraction form
    537.15/805.99 = 263.24/x
  3. Step 3: Cross multiply
    537.15x = 805.99 × 263.24
  4. Step 4: Simplify right side
    537.15x = 212,168.81
  5. Step 5: Solve for x
    x = 212,168.81/537.15
  6. Step 6: Final answer
    x = 394.99

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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.