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Finding the Fourth Proportional to 650.86, 898.59 and 414.94

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Solution

The fourth proportional to 650.86, 898.59 and 414.94 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.86 : 898.59 = 414.94 : x
  2. Step 2: Convert to fraction form
    650.86/898.59 = 414.94/x
  3. Step 3: Cross multiply
    650.86x = 898.59 × 414.94
  4. Step 4: Simplify right side
    650.86x = 372,860.93
  5. Step 5: Solve for x
    x = 372,860.93/650.86
  6. Step 6: Final answer
    x = 572.87

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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.