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Finding the Fourth Proportional to 949.90, 1,425.42 and 402.06

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Solution

The fourth proportional to 949.90, 1,425.42 and 402.06 is: 603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.90 : 1,425.42 = 402.06 : x
  2. Step 2: Convert to fraction form
    949.90/1,425.42 = 402.06/x
  3. Step 3: Cross multiply
    949.90x = 1,425.42 × 402.06
  4. Step 4: Simplify right side
    949.90x = 573,104.37
  5. Step 5: Solve for x
    x = 573,104.37/949.90
  6. Step 6: Final answer
    x = 603.33

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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.