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Finding the Fourth Proportional to 604.93, 835.59 and 500.44

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Solution

The fourth proportional to 604.93, 835.59 and 500.44 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.93 : 835.59 = 500.44 : x
  2. Step 2: Convert to fraction form
    604.93/835.59 = 500.44/x
  3. Step 3: Cross multiply
    604.93x = 835.59 × 500.44
  4. Step 4: Simplify right side
    604.93x = 418,155.98
  5. Step 5: Solve for x
    x = 418,155.98/604.93
  6. Step 6: Final answer
    x = 691.25

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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.