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Finding the Fourth Proportional to 604.69, 834.16 and 407.86

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Solution

The fourth proportional to 604.69, 834.16 and 407.86 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.69 : 834.16 = 407.86 : x
  2. Step 2: Convert to fraction form
    604.69/834.16 = 407.86/x
  3. Step 3: Cross multiply
    604.69x = 834.16 × 407.86
  4. Step 4: Simplify right side
    604.69x = 340,220.50
  5. Step 5: Solve for x
    x = 340,220.50/604.69
  6. Step 6: Final answer
    x = 562.64

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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.