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Finding the Fourth Proportional to 651.72, 898.34 and 485.66

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Solution

The fourth proportional to 651.72, 898.34 and 485.66 is: 669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 898.34 = 485.66 : x
  2. Step 2: Convert to fraction form
    651.72/898.34 = 485.66/x
  3. Step 3: Cross multiply
    651.72x = 898.34 × 485.66
  4. Step 4: Simplify right side
    651.72x = 436,287.80
  5. Step 5: Solve for x
    x = 436,287.80/651.72
  6. Step 6: Final answer
    x = 669.44

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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.