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Finding the Fourth Proportional to 810.96, 1,216.35 and 263.13

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Solution

The fourth proportional to 810.96, 1,216.35 and 263.13 is: 394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.96 : 1,216.35 = 263.13 : x
  2. Step 2: Convert to fraction form
    810.96/1,216.35 = 263.13/x
  3. Step 3: Cross multiply
    810.96x = 1,216.35 × 263.13
  4. Step 4: Simplify right side
    810.96x = 320,058.18
  5. Step 5: Solve for x
    x = 320,058.18/810.96
  6. Step 6: Final answer
    x = 394.67

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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.