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Finding the Fourth Proportional to 600.87, 900.99 and 405.86

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Solution

The fourth proportional to 600.87, 900.99 and 405.86 is: 608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.87 : 900.99 = 405.86 : x
  2. Step 2: Convert to fraction form
    600.87/900.99 = 405.86/x
  3. Step 3: Cross multiply
    600.87x = 900.99 × 405.86
  4. Step 4: Simplify right side
    600.87x = 365,675.80
  5. Step 5: Solve for x
    x = 365,675.80/600.87
  6. Step 6: Final answer
    x = 608.58

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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.