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Finding the Fourth Proportional to 604.65, 834.34 and 339.10

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Solution

The fourth proportional to 604.65, 834.34 and 339.10 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.65 : 834.34 = 339.10 : x
  2. Step 2: Convert to fraction form
    604.65/834.34 = 339.10/x
  3. Step 3: Cross multiply
    604.65x = 834.34 × 339.10
  4. Step 4: Simplify right side
    604.65x = 282,923.00
  5. Step 5: Solve for x
    x = 282,923.00/604.65
  6. Step 6: Final answer
    x = 467.92

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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.