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Finding the Fourth Proportional to 604.54, 833.02 and 464.65

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Solution

The fourth proportional to 604.54, 833.02 and 464.65 is: 640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 833.02 = 464.65 : x
  2. Step 2: Convert to fraction form
    604.54/833.02 = 464.65/x
  3. Step 3: Cross multiply
    604.54x = 833.02 × 464.65
  4. Step 4: Simplify right side
    604.54x = 387,062.74
  5. Step 5: Solve for x
    x = 387,062.74/604.54
  6. Step 6: Final answer
    x = 640.26

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