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Finding the Fourth Proportional to 406.34, 608.04 and 347.83

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Solution

The fourth proportional to 406.34, 608.04 and 347.83 is: 520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 608.04 = 347.83 : x
  2. Step 2: Convert to fraction form
    406.34/608.04 = 347.83/x
  3. Step 3: Cross multiply
    406.34x = 608.04 × 347.83
  4. Step 4: Simplify right side
    406.34x = 211,494.55
  5. Step 5: Solve for x
    x = 211,494.55/406.34
  6. Step 6: Final answer
    x = 520.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.