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Finding the Fourth Proportional to 600.14, 899.43 and 307.39

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Solution

The fourth proportional to 600.14, 899.43 and 307.39 is: 460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 899.43 = 307.39 : x
  2. Step 2: Convert to fraction form
    600.14/899.43 = 307.39/x
  3. Step 3: Cross multiply
    600.14x = 899.43 × 307.39
  4. Step 4: Simplify right side
    600.14x = 276,474.92
  5. Step 5: Solve for x
    x = 276,474.92/600.14
  6. Step 6: Final answer
    x = 460.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.