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Finding the Fourth Proportional to 507.14, 699.92 and 297.29

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Solution

The fourth proportional to 507.14, 699.92 and 297.29 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 699.92 = 297.29 : x
  2. Step 2: Convert to fraction form
    507.14/699.92 = 297.29/x
  3. Step 3: Cross multiply
    507.14x = 699.92 × 297.29
  4. Step 4: Simplify right side
    507.14x = 208,076.46
  5. Step 5: Solve for x
    x = 208,076.46/507.14
  6. Step 6: Final answer
    x = 410.29

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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.