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Finding the Fourth Proportional to 292.75, 437.00 and 271.06

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Solution

The fourth proportional to 292.75, 437.00 and 271.06 is: 404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 437.00 = 271.06 : x
  2. Step 2: Convert to fraction form
    292.75/437.00 = 271.06/x
  3. Step 3: Cross multiply
    292.75x = 437.00 × 271.06
  4. Step 4: Simplify right side
    292.75x = 118,450.77
  5. Step 5: Solve for x
    x = 118,450.77/292.75
  6. Step 6: Final answer
    x = 404.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.