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Finding the Fourth Proportional to 651.66, 898.95 and 441.77

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Solution

The fourth proportional to 651.66, 898.95 and 441.77 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.66 : 898.95 = 441.77 : x
  2. Step 2: Convert to fraction form
    651.66/898.95 = 441.77/x
  3. Step 3: Cross multiply
    651.66x = 898.95 × 441.77
  4. Step 4: Simplify right side
    651.66x = 397,126.30
  5. Step 5: Solve for x
    x = 397,126.30/651.66
  6. Step 6: Final answer
    x = 609.41

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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.