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Finding the Fourth Proportional to 507.15, 699.57 and 396.45

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Solution

The fourth proportional to 507.15, 699.57 and 396.45 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.15 : 699.57 = 396.45 : x
  2. Step 2: Convert to fraction form
    507.15/699.57 = 396.45/x
  3. Step 3: Cross multiply
    507.15x = 699.57 × 396.45
  4. Step 4: Simplify right side
    507.15x = 277,344.53
  5. Step 5: Solve for x
    x = 277,344.53/507.15
  6. Step 6: Final answer
    x = 546.87

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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.