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Finding the Fourth Proportional to 553.87, 829.13 and 368.96

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Solution

The fourth proportional to 553.87, 829.13 and 368.96 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.87 : 829.13 = 368.96 : x
  2. Step 2: Convert to fraction form
    553.87/829.13 = 368.96/x
  3. Step 3: Cross multiply
    553.87x = 829.13 × 368.96
  4. Step 4: Simplify right side
    553.87x = 305,914.87
  5. Step 5: Solve for x
    x = 305,914.87/553.87
  6. Step 6: Final answer
    x = 552.32

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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.