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Finding the Fourth Proportional to 366.99, 506.28 and 293.41

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Solution

The fourth proportional to 366.99, 506.28 and 293.41 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.99 : 506.28 = 293.41 : x
  2. Step 2: Convert to fraction form
    366.99/506.28 = 293.41/x
  3. Step 3: Cross multiply
    366.99x = 506.28 × 293.41
  4. Step 4: Simplify right side
    366.99x = 148,547.61
  5. Step 5: Solve for x
    x = 148,547.61/366.99
  6. Step 6: Final answer
    x = 404.77

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Why These Related Problems?

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