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Finding the Fourth Proportional to 600.22, 900.42 and 292.24

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Solution

The fourth proportional to 600.22, 900.42 and 292.24 is: 438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 900.42 = 292.24 : x
  2. Step 2: Convert to fraction form
    600.22/900.42 = 292.24/x
  3. Step 3: Cross multiply
    600.22x = 900.42 × 292.24
  4. Step 4: Simplify right side
    600.22x = 263,138.74
  5. Step 5: Solve for x
    x = 263,138.74/600.22
  6. Step 6: Final answer
    x = 438.40

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1.5x scale

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.