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Finding the Fourth Proportional to 651.90, 899.78 and 442.43

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Solution

The fourth proportional to 651.90, 899.78 and 442.43 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 899.78 = 442.43 : x
  2. Step 2: Convert to fraction form
    651.90/899.78 = 442.43/x
  3. Step 3: Cross multiply
    651.90x = 899.78 × 442.43
  4. Step 4: Simplify right side
    651.90x = 398,086.27
  5. Step 5: Solve for x
    x = 398,086.27/651.90
  6. Step 6: Final answer
    x = 610.66

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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.