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Finding the Fourth Proportional to 604.65, 834.12 and 429.69

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Solution

The fourth proportional to 604.65, 834.12 and 429.69 is: 592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.65 : 834.12 = 429.69 : x
  2. Step 2: Convert to fraction form
    604.65/834.12 = 429.69/x
  3. Step 3: Cross multiply
    604.65x = 834.12 × 429.69
  4. Step 4: Simplify right side
    604.65x = 358,413.02
  5. Step 5: Solve for x
    x = 358,413.02/604.65
  6. Step 6: Final answer
    x = 592.76

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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.