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Finding the Fourth Proportional to 506.90, 699.46 and 297.11

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Solution

The fourth proportional to 506.90, 699.46 and 297.11 is: 409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.90 : 699.46 = 297.11 : x
  2. Step 2: Convert to fraction form
    506.90/699.46 = 297.11/x
  3. Step 3: Cross multiply
    506.90x = 699.46 × 297.11
  4. Step 4: Simplify right side
    506.90x = 207,817.57
  5. Step 5: Solve for x
    x = 207,817.57/506.90
  6. Step 6: Final answer
    x = 409.98

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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.