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Finding the Fourth Proportional to 651.41, 898.97 and 356.69

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Solution

The fourth proportional to 651.41, 898.97 and 356.69 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.41 : 898.97 = 356.69 : x
  2. Step 2: Convert to fraction form
    651.41/898.97 = 356.69/x
  3. Step 3: Cross multiply
    651.41x = 898.97 × 356.69
  4. Step 4: Simplify right side
    651.41x = 320,647.33
  5. Step 5: Solve for x
    x = 320,647.33/651.41
  6. Step 6: Final answer
    x = 492.24

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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.