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Finding the Fourth Proportional to 651.65, 899.22 and 356.92

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Solution

The fourth proportional to 651.65, 899.22 and 356.92 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 899.22 = 356.92 : x
  2. Step 2: Convert to fraction form
    651.65/899.22 = 356.92/x
  3. Step 3: Cross multiply
    651.65x = 899.22 × 356.92
  4. Step 4: Simplify right side
    651.65x = 320,951.74
  5. Step 5: Solve for x
    x = 320,951.74/651.65
  6. Step 6: Final answer
    x = 492.53

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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.