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Finding the Fourth Proportional to 604.12, 833.52 and 342.08

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Solution

The fourth proportional to 604.12, 833.52 and 342.08 is: 471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.12 : 833.52 = 342.08 : x
  2. Step 2: Convert to fraction form
    604.12/833.52 = 342.08/x
  3. Step 3: Cross multiply
    604.12x = 833.52 × 342.08
  4. Step 4: Simplify right side
    604.12x = 285,130.52
  5. Step 5: Solve for x
    x = 285,130.52/604.12
  6. Step 6: Final answer
    x = 471.98

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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.