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Finding the Fourth Proportional to 601.72, 902.95 and 277.11

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Solution

The fourth proportional to 601.72, 902.95 and 277.11 is: 415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 902.95 = 277.11 : x
  2. Step 2: Convert to fraction form
    601.72/902.95 = 277.11/x
  3. Step 3: Cross multiply
    601.72x = 902.95 × 277.11
  4. Step 4: Simplify right side
    601.72x = 250,215.78
  5. Step 5: Solve for x
    x = 250,215.78/601.72
  6. Step 6: Final answer
    x = 415.84

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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.