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Finding the Fourth Proportional to 507.23, 699.99 and 297.56

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Solution

The fourth proportional to 507.23, 699.99 and 297.56 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.23 : 699.99 = 297.56 : x
  2. Step 2: Convert to fraction form
    507.23/699.99 = 297.56/x
  3. Step 3: Cross multiply
    507.23x = 699.99 × 297.56
  4. Step 4: Simplify right side
    507.23x = 208,289.02
  5. Step 5: Solve for x
    x = 208,289.02/507.23
  6. Step 6: Final answer
    x = 410.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.