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Finding the Fourth Proportional to 604.63, 834.53 and 342.80

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Solution

The fourth proportional to 604.63, 834.53 and 342.80 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.63 : 834.53 = 342.80 : x
  2. Step 2: Convert to fraction form
    604.63/834.53 = 342.80/x
  3. Step 3: Cross multiply
    604.63x = 834.53 × 342.80
  4. Step 4: Simplify right side
    604.63x = 286,074.13
  5. Step 5: Solve for x
    x = 286,074.13/604.63
  6. Step 6: Final answer
    x = 473.14

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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.