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Finding the Fourth Proportional to 949.12, 1,424.12 and 429.46

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Solution

The fourth proportional to 949.12, 1,424.12 and 429.46 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.12 : 1,424.12 = 429.46 : x
  2. Step 2: Convert to fraction form
    949.12/1,424.12 = 429.46/x
  3. Step 3: Cross multiply
    949.12x = 1,424.12 × 429.46
  4. Step 4: Simplify right side
    949.12x = 611,596.87
  5. Step 5: Solve for x
    x = 611,596.87/949.12
  6. Step 6: Final answer
    x = 644.38

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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.