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Finding the Fourth Proportional to 651.49, 899.06 and 385.97

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Solution

The fourth proportional to 651.49, 899.06 and 385.97 is: 532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.49 : 899.06 = 385.97 : x
  2. Step 2: Convert to fraction form
    651.49/899.06 = 385.97/x
  3. Step 3: Cross multiply
    651.49x = 899.06 × 385.97
  4. Step 4: Simplify right side
    651.49x = 347,012.17
  5. Step 5: Solve for x
    x = 347,012.17/651.49
  6. Step 6: Final answer
    x = 532.65

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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.