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Finding the Fourth Proportional to 651.49, 899.07 and 356.78

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Solution

The fourth proportional to 651.49, 899.07 and 356.78 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.49 : 899.07 = 356.78 : x
  2. Step 2: Convert to fraction form
    651.49/899.07 = 356.78/x
  3. Step 3: Cross multiply
    651.49x = 899.07 × 356.78
  4. Step 4: Simplify right side
    651.49x = 320,765.70
  5. Step 5: Solve for x
    x = 320,765.70/651.49
  6. Step 6: Final answer
    x = 492.36

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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.