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Finding the Fourth Proportional to 604.01, 833.54 and 342.02

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Solution

The fourth proportional to 604.01, 833.54 and 342.02 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.01 : 833.54 = 342.02 : x
  2. Step 2: Convert to fraction form
    604.01/833.54 = 342.02/x
  3. Step 3: Cross multiply
    604.01x = 833.54 × 342.02
  4. Step 4: Simplify right side
    604.01x = 285,081.47
  5. Step 5: Solve for x
    x = 285,081.47/604.01
  6. Step 6: Final answer
    x = 471.99

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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.