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Finding the Fourth Proportional to 600.62, 901.53 and 405.61

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Solution

The fourth proportional to 600.62, 901.53 and 405.61 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 901.53 = 405.61 : x
  2. Step 2: Convert to fraction form
    600.62/901.53 = 405.61/x
  3. Step 3: Cross multiply
    600.62x = 901.53 × 405.61
  4. Step 4: Simplify right side
    600.62x = 365,667.33
  5. Step 5: Solve for x
    x = 365,667.33/600.62
  6. Step 6: Final answer
    x = 608.82

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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.