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Finding the Fourth Proportional to 553.09, 829.59 and 378.52

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Solution

The fourth proportional to 553.09, 829.59 and 378.52 is: 567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.09 : 829.59 = 378.52 : x
  2. Step 2: Convert to fraction form
    553.09/829.59 = 378.52/x
  3. Step 3: Cross multiply
    553.09x = 829.59 × 378.52
  4. Step 4: Simplify right side
    553.09x = 314,016.41
  5. Step 5: Solve for x
    x = 314,016.41/553.09
  6. Step 6: Final answer
    x = 567.75

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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.