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Finding the Fourth Proportional to 400.75, 601.00 and 271.53

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Solution

The fourth proportional to 400.75, 601.00 and 271.53 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 601.00 = 271.53 : x
  2. Step 2: Convert to fraction form
    400.75/601.00 = 271.53/x
  3. Step 3: Cross multiply
    400.75x = 601.00 × 271.53
  4. Step 4: Simplify right side
    400.75x = 163,188.85
  5. Step 5: Solve for x
    x = 163,188.85/400.75
  6. Step 6: Final answer
    x = 407.21

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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.