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Finding the Fourth Proportional to 650.94, 898.02 and 414.83

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Solution

The fourth proportional to 650.94, 898.02 and 414.83 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.94 : 898.02 = 414.83 : x
  2. Step 2: Convert to fraction form
    650.94/898.02 = 414.83/x
  3. Step 3: Cross multiply
    650.94x = 898.02 × 414.83
  4. Step 4: Simplify right side
    650.94x = 372,521.15
  5. Step 5: Solve for x
    x = 372,521.15/650.94
  6. Step 6: Final answer
    x = 572.28

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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.