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Finding the Fourth Proportional to 601.94, 902.70 and 324.14

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Solution

The fourth proportional to 601.94, 902.70 and 324.14 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.94 : 902.70 = 324.14 : x
  2. Step 2: Convert to fraction form
    601.94/902.70 = 324.14/x
  3. Step 3: Cross multiply
    601.94x = 902.70 × 324.14
  4. Step 4: Simplify right side
    601.94x = 292,596.66
  5. Step 5: Solve for x
    x = 292,596.66/601.94
  6. Step 6: Final answer
    x = 486.09

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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.