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Finding the Fourth Proportional to 651.42, 898.79 and 441.90

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Solution

The fourth proportional to 651.42, 898.79 and 441.90 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 898.79 = 441.90 : x
  2. Step 2: Convert to fraction form
    651.42/898.79 = 441.90/x
  3. Step 3: Cross multiply
    651.42x = 898.79 × 441.90
  4. Step 4: Simplify right side
    651.42x = 397,173.09
  5. Step 5: Solve for x
    x = 397,173.09/651.42
  6. Step 6: Final answer
    x = 609.70

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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.