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Finding the Fourth Proportional to 601.90, 902.49 and 277.54

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Solution

The fourth proportional to 601.90, 902.49 and 277.54 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 902.49 = 277.54 : x
  2. Step 2: Convert to fraction form
    601.90/902.49 = 277.54/x
  3. Step 3: Cross multiply
    601.90x = 902.49 × 277.54
  4. Step 4: Simplify right side
    601.90x = 250,477.07
  5. Step 5: Solve for x
    x = 250,477.07/601.90
  6. Step 6: Final answer
    x = 416.14

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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.