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Finding the Fourth Proportional to 507.09, 699.72 and 297.23

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Solution

The fourth proportional to 507.09, 699.72 and 297.23 is: 410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 699.72 = 297.23 : x
  2. Step 2: Convert to fraction form
    507.09/699.72 = 297.23/x
  3. Step 3: Cross multiply
    507.09x = 699.72 × 297.23
  4. Step 4: Simplify right side
    507.09x = 207,974.28
  5. Step 5: Solve for x
    x = 207,974.28/507.09
  6. Step 6: Final answer
    x = 410.13

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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.