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Finding the Fourth Proportional to 651.57, 899.16 and 356.83

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Solution

The fourth proportional to 651.57, 899.16 and 356.83 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 899.16 = 356.83 : x
  2. Step 2: Convert to fraction form
    651.57/899.16 = 356.83/x
  3. Step 3: Cross multiply
    651.57x = 899.16 × 356.83
  4. Step 4: Simplify right side
    651.57x = 320,847.26
  5. Step 5: Solve for x
    x = 320,847.26/651.57
  6. Step 6: Final answer
    x = 492.42

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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.