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Finding the Fourth Proportional to 507.20, 699.86 and 297.32

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Solution

The fourth proportional to 507.20, 699.86 and 297.32 is: 410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 699.86 = 297.32 : x
  2. Step 2: Convert to fraction form
    507.20/699.86 = 297.32/x
  3. Step 3: Cross multiply
    507.20x = 699.86 × 297.32
  4. Step 4: Simplify right side
    507.20x = 208,082.38
  5. Step 5: Solve for x
    x = 208,082.38/507.20
  6. Step 6: Final answer
    x = 410.26

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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.