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Finding the Fourth Proportional to 664.94, 994.98 and 429.86

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Solution

The fourth proportional to 664.94, 994.98 and 429.86 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.94 : 994.98 = 429.86 : x
  2. Step 2: Convert to fraction form
    664.94/994.98 = 429.86/x
  3. Step 3: Cross multiply
    664.94x = 994.98 × 429.86
  4. Step 4: Simplify right side
    664.94x = 427,702.10
  5. Step 5: Solve for x
    x = 427,702.10/664.94
  6. Step 6: Final answer
    x = 643.22

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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.