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Finding the Fourth Proportional to 604.68, 907.01 and 193.81

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Solution

The fourth proportional to 604.68, 907.01 and 193.81 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.68 : 907.01 = 193.81 : x
  2. Step 2: Convert to fraction form
    604.68/907.01 = 193.81/x
  3. Step 3: Cross multiply
    604.68x = 907.01 × 193.81
  4. Step 4: Simplify right side
    604.68x = 175,787.61
  5. Step 5: Solve for x
    x = 175,787.61/604.68
  6. Step 6: Final answer
    x = 290.71

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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.