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Finding the Fourth Proportional to 553.49, 829.53 and 293.54

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Solution

The fourth proportional to 553.49, 829.53 and 293.54 is: 439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.49 : 829.53 = 293.54 : x
  2. Step 2: Convert to fraction form
    553.49/829.53 = 293.54/x
  3. Step 3: Cross multiply
    553.49x = 829.53 × 293.54
  4. Step 4: Simplify right side
    553.49x = 243,496.09
  5. Step 5: Solve for x
    x = 243,496.09/553.49
  6. Step 6: Final answer
    x = 439.93

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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.