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Finding the Fourth Proportional to 600.67, 900.42 and 292.51

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Solution

The fourth proportional to 600.67, 900.42 and 292.51 is: 438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.67 : 900.42 = 292.51 : x
  2. Step 2: Convert to fraction form
    600.67/900.42 = 292.51/x
  3. Step 3: Cross multiply
    600.67x = 900.42 × 292.51
  4. Step 4: Simplify right side
    600.67x = 263,381.85
  5. Step 5: Solve for x
    x = 263,381.85/600.67
  6. Step 6: Final answer
    x = 438.48

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