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Finding the Fourth Proportional to 604.78, 834.58 and 342.82

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Solution

The fourth proportional to 604.78, 834.58 and 342.82 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.78 : 834.58 = 342.82 : x
  2. Step 2: Convert to fraction form
    604.78/834.58 = 342.82/x
  3. Step 3: Cross multiply
    604.78x = 834.58 × 342.82
  4. Step 4: Simplify right side
    604.78x = 286,110.72
  5. Step 5: Solve for x
    x = 286,110.72/604.78
  6. Step 6: Final answer
    x = 473.08

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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.