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Finding the Fourth Proportional to 356.74, 533.90 and 299.03

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Solution

The fourth proportional to 356.74, 533.90 and 299.03 is: 447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 533.90 = 299.03 : x
  2. Step 2: Convert to fraction form
    356.74/533.90 = 299.03/x
  3. Step 3: Cross multiply
    356.74x = 533.90 × 299.03
  4. Step 4: Simplify right side
    356.74x = 159,651.18
  5. Step 5: Solve for x
    x = 159,651.18/356.74
  6. Step 6: Final answer
    x = 447.52

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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.