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Finding the Fourth Proportional to 604.07, 834.02 and 463.93

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Solution

The fourth proportional to 604.07, 834.02 and 463.93 is: 640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.07 : 834.02 = 463.93 : x
  2. Step 2: Convert to fraction form
    604.07/834.02 = 463.93/x
  3. Step 3: Cross multiply
    604.07x = 834.02 × 463.93
  4. Step 4: Simplify right side
    604.07x = 386,928.63
  5. Step 5: Solve for x
    x = 386,928.63/604.07
  6. Step 6: Final answer
    x = 640.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.