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Finding the Fourth Proportional to 600.07, 900.17 and 292.08

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Solution

The fourth proportional to 600.07, 900.17 and 292.08 is: 438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 900.17 = 292.08 : x
  2. Step 2: Convert to fraction form
    600.07/900.17 = 292.08/x
  3. Step 3: Cross multiply
    600.07x = 900.17 × 292.08
  4. Step 4: Simplify right side
    600.07x = 262,921.65
  5. Step 5: Solve for x
    x = 262,921.65/600.07
  6. Step 6: Final answer
    x = 438.15

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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.