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Finding the Fourth Proportional to 810.94, 1,216.41 and 378.40

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Solution

The fourth proportional to 810.94, 1,216.41 and 378.40 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.94 : 1,216.41 = 378.40 : x
  2. Step 2: Convert to fraction form
    810.94/1,216.41 = 378.40/x
  3. Step 3: Cross multiply
    810.94x = 1,216.41 × 378.40
  4. Step 4: Simplify right side
    810.94x = 460,289.54
  5. Step 5: Solve for x
    x = 460,289.54/810.94
  6. Step 6: Final answer
    x = 567.60

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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.