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Finding the Fourth Proportional to 369.80, 510.06 and 296

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Solution

The fourth proportional to 369.80, 510.06 and 296 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 510.06 = 296 : x
  2. Step 2: Convert to fraction form
    369.80/510.06 = 296/x
  3. Step 3: Cross multiply
    369.80x = 510.06 × 296
  4. Step 4: Simplify right side
    369.80x = 150,977.76
  5. Step 5: Solve for x
    x = 150,977.76/369.80
  6. Step 6: Final answer
    x = 408.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.