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Finding the Fourth Proportional to 664.26, 916.83 and 430.98

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Solution

The fourth proportional to 664.26, 916.83 and 430.98 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 916.83 = 430.98 : x
  2. Step 2: Convert to fraction form
    664.26/916.83 = 430.98/x
  3. Step 3: Cross multiply
    664.26x = 916.83 × 430.98
  4. Step 4: Simplify right side
    664.26x = 395,135.39
  5. Step 5: Solve for x
    x = 395,135.39/664.26
  6. Step 6: Final answer
    x = 594.85

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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.