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Finding the Fourth Proportional to 811.04, 1,216.91 and 378.20

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Solution

The fourth proportional to 811.04, 1,216.91 and 378.20 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.04 : 1,216.91 = 378.20 : x
  2. Step 2: Convert to fraction form
    811.04/1,216.91 = 378.20/x
  3. Step 3: Cross multiply
    811.04x = 1,216.91 × 378.20
  4. Step 4: Simplify right side
    811.04x = 460,239.35
  5. Step 5: Solve for x
    x = 460,239.35/811.04
  6. Step 6: Final answer
    x = 567.47

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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.