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Finding the Fourth Proportional to 506.86, 699.45 and 297.16

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Solution

The fourth proportional to 506.86, 699.45 and 297.16 is: 410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 699.45 = 297.16 : x
  2. Step 2: Convert to fraction form
    506.86/699.45 = 297.16/x
  3. Step 3: Cross multiply
    506.86x = 699.45 × 297.16
  4. Step 4: Simplify right side
    506.86x = 207,848.56
  5. Step 5: Solve for x
    x = 207,848.56/506.86
  6. Step 6: Final answer
    x = 410.07

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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.