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Finding the Fourth Proportional to 651.59, 899.21 and 356.86

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Solution

The fourth proportional to 651.59, 899.21 and 356.86 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.59 : 899.21 = 356.86 : x
  2. Step 2: Convert to fraction form
    651.59/899.21 = 356.86/x
  3. Step 3: Cross multiply
    651.59x = 899.21 × 356.86
  4. Step 4: Simplify right side
    651.59x = 320,892.08
  5. Step 5: Solve for x
    x = 320,892.08/651.59
  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.