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Finding the Fourth Proportional to 604.16, 906.05 and 193.20

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Solution

The fourth proportional to 604.16, 906.05 and 193.20 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 906.05 = 193.20 : x
  2. Step 2: Convert to fraction form
    604.16/906.05 = 193.20/x
  3. Step 3: Cross multiply
    604.16x = 906.05 × 193.20
  4. Step 4: Simplify right side
    604.16x = 175,050.00
  5. Step 5: Solve for x
    x = 175,050.00/604.16
  6. Step 6: Final answer
    x = 289.74

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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.