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Finding the Fourth Proportional to 651.54, 899.06 and 367.94

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Solution

The fourth proportional to 651.54, 899.06 and 367.94 is: 507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.54 : 899.06 = 367.94 : x
  2. Step 2: Convert to fraction form
    651.54/899.06 = 367.94/x
  3. Step 3: Cross multiply
    651.54x = 899.06 × 367.94
  4. Step 4: Simplify right side
    651.54x = 330,796.56
  5. Step 5: Solve for x
    x = 330,796.56/651.54
  6. Step 6: Final answer
    x = 507.71

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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.