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Finding the Fourth Proportional to 651.59, 899.36 and 442.12

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Solution

The fourth proportional to 651.59, 899.36 and 442.12 is: 610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.59 : 899.36 = 442.12 : x
  2. Step 2: Convert to fraction form
    651.59/899.36 = 442.12/x
  3. Step 3: Cross multiply
    651.59x = 899.36 × 442.12
  4. Step 4: Simplify right side
    651.59x = 397,618.34
  5. Step 5: Solve for x
    x = 397,618.34/651.59
  6. Step 6: Final answer
    x = 610.23

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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.