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Finding the Fourth Proportional to 604.14, 839.62 and 597.66

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Solution

The fourth proportional to 604.14, 839.62 and 597.66 is: 830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.14 : 839.62 = 597.66 : x
  2. Step 2: Convert to fraction form
    604.14/839.62 = 597.66/x
  3. Step 3: Cross multiply
    604.14x = 839.62 × 597.66
  4. Step 4: Simplify right side
    604.14x = 501,807.29
  5. Step 5: Solve for x
    x = 501,807.29/604.14
  6. Step 6: Final answer
    x = 830.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.