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Finding the Fourth Proportional to 604.55, 906.84 and 292.02

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Solution

The fourth proportional to 604.55, 906.84 and 292.02 is: 438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.55 : 906.84 = 292.02 : x
  2. Step 2: Convert to fraction form
    604.55/906.84 = 292.02/x
  3. Step 3: Cross multiply
    604.55x = 906.84 × 292.02
  4. Step 4: Simplify right side
    604.55x = 264,815.42
  5. Step 5: Solve for x
    x = 264,815.42/604.55
  6. Step 6: Final answer
    x = 438.04

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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.