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Finding the Fourth Proportional to 651.60, 899.19 and 356.88

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Solution

The fourth proportional to 651.60, 899.19 and 356.88 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 899.19 = 356.88 : x
  2. Step 2: Convert to fraction form
    651.60/899.19 = 356.88/x
  3. Step 3: Cross multiply
    651.60x = 899.19 × 356.88
  4. Step 4: Simplify right side
    651.60x = 320,902.93
  5. Step 5: Solve for x
    x = 320,902.93/651.60
  6. Step 6: Final answer
    x = 492.48

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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.