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Finding the Fourth Proportional to 650.61, 897.94 and 414.66

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Solution

The fourth proportional to 650.61, 897.94 and 414.66 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 897.94 = 414.66 : x
  2. Step 2: Convert to fraction form
    650.61/897.94 = 414.66/x
  3. Step 3: Cross multiply
    650.61x = 897.94 × 414.66
  4. Step 4: Simplify right side
    650.61x = 372,333.24
  5. Step 5: Solve for x
    x = 372,333.24/650.61
  6. Step 6: Final answer
    x = 572.29

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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.