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Finding the Fourth Proportional to 507.24, 699.97 and 297.42

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Solution

The fourth proportional to 507.24, 699.97 and 297.42 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 699.97 = 297.42 : x
  2. Step 2: Convert to fraction form
    507.24/699.97 = 297.42/x
  3. Step 3: Cross multiply
    507.24x = 699.97 × 297.42
  4. Step 4: Simplify right side
    507.24x = 208,185.08
  5. Step 5: Solve for x
    x = 208,185.08/507.24
  6. Step 6: Final answer
    x = 410.43

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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.