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Finding the Fourth Proportional to 600.62, 899.30 and 462.51

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Solution

The fourth proportional to 600.62, 899.30 and 462.51 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 899.30 = 462.51 : x
  2. Step 2: Convert to fraction form
    600.62/899.30 = 462.51/x
  3. Step 3: Cross multiply
    600.62x = 899.30 × 462.51
  4. Step 4: Simplify right side
    600.62x = 415,936.40
  5. Step 5: Solve for x
    x = 415,936.40/600.62
  6. Step 6: Final answer
    x = 692.52

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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.