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Finding the Fourth Proportional to 650.54, 897.36 and 414.48

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Solution

The fourth proportional to 650.54, 897.36 and 414.48 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 897.36 = 414.48 : x
  2. Step 2: Convert to fraction form
    650.54/897.36 = 414.48/x
  3. Step 3: Cross multiply
    650.54x = 897.36 × 414.48
  4. Step 4: Simplify right side
    650.54x = 371,937.77
  5. Step 5: Solve for x
    x = 371,937.77/650.54
  6. Step 6: Final answer
    x = 571.74

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