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Finding the Fourth Proportional to 604.06, 833.08 and 464.14

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Solution

The fourth proportional to 604.06, 833.08 and 464.14 is: 640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.06 : 833.08 = 464.14 : x
  2. Step 2: Convert to fraction form
    604.06/833.08 = 464.14/x
  3. Step 3: Cross multiply
    604.06x = 833.08 × 464.14
  4. Step 4: Simplify right side
    604.06x = 386,665.75
  5. Step 5: Solve for x
    x = 386,665.75/604.06
  6. Step 6: Final answer
    x = 640.11

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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.