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Finding the Fourth Proportional to 507.13, 699.77 and 297.37

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Solution

The fourth proportional to 507.13, 699.77 and 297.37 is: 410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.13 : 699.77 = 297.37 : x
  2. Step 2: Convert to fraction form
    507.13/699.77 = 297.37/x
  3. Step 3: Cross multiply
    507.13x = 699.77 × 297.37
  4. Step 4: Simplify right side
    507.13x = 208,092.22
  5. Step 5: Solve for x
    x = 208,092.22/507.13
  6. Step 6: Final answer
    x = 410.34

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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.