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Finding the Fourth Proportional to 650.52, 897.74 and 355.82

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Solution

The fourth proportional to 650.52, 897.74 and 355.82 is: 491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 897.74 = 355.82 : x
  2. Step 2: Convert to fraction form
    650.52/897.74 = 355.82/x
  3. Step 3: Cross multiply
    650.52x = 897.74 × 355.82
  4. Step 4: Simplify right side
    650.52x = 319,433.85
  5. Step 5: Solve for x
    x = 319,433.85/650.52
  6. Step 6: Final answer
    x = 491.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.