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Finding the Fourth Proportional to 625.84, 939.53 and 405.74

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Solution

The fourth proportional to 625.84, 939.53 and 405.74 is: 609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.84 : 939.53 = 405.74 : x
  2. Step 2: Convert to fraction form
    625.84/939.53 = 405.74/x
  3. Step 3: Cross multiply
    625.84x = 939.53 × 405.74
  4. Step 4: Simplify right side
    625.84x = 381,202.87
  5. Step 5: Solve for x
    x = 381,202.87/625.84
  6. Step 6: Final answer
    x = 609.11

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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.