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Finding the Fourth Proportional to 553.59, 829.71 and 264.42

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Solution

The fourth proportional to 553.59, 829.71 and 264.42 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.59 : 829.71 = 264.42 : x
  2. Step 2: Convert to fraction form
    553.59/829.71 = 264.42/x
  3. Step 3: Cross multiply
    553.59x = 829.71 × 264.42
  4. Step 4: Simplify right side
    553.59x = 219,391.92
  5. Step 5: Solve for x
    x = 219,391.92/553.59
  6. Step 6: Final answer
    x = 396.31

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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.