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Finding the Fourth Proportional to 366.70, 506.52 and 297.22

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Solution

The fourth proportional to 366.70, 506.52 and 297.22 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.70 : 506.52 = 297.22 : x
  2. Step 2: Convert to fraction form
    366.70/506.52 = 297.22/x
  3. Step 3: Cross multiply
    366.70x = 506.52 × 297.22
  4. Step 4: Simplify right side
    366.70x = 150,547.87
  5. Step 5: Solve for x
    x = 150,547.87/366.70
  6. Step 6: Final answer
    x = 410.55

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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.