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Finding the Fourth Proportional to 816.51, 1,224.80 and 378.17

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Solution

The fourth proportional to 816.51, 1,224.80 and 378.17 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.51 : 1,224.80 = 378.17 : x
  2. Step 2: Convert to fraction form
    816.51/1,224.80 = 378.17/x
  3. Step 3: Cross multiply
    816.51x = 1,224.80 × 378.17
  4. Step 4: Simplify right side
    816.51x = 463,176.02
  5. Step 5: Solve for x
    x = 463,176.02/816.51
  6. Step 6: Final answer
    x = 567.27

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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.