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Finding the Fourth Proportional to 506.94, 699.59 and 310.56

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Solution

The fourth proportional to 506.94, 699.59 and 310.56 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.94 : 699.59 = 310.56 : x
  2. Step 2: Convert to fraction form
    506.94/699.59 = 310.56/x
  3. Step 3: Cross multiply
    506.94x = 699.59 × 310.56
  4. Step 4: Simplify right side
    506.94x = 217,264.67
  5. Step 5: Solve for x
    x = 217,264.67/506.94
  6. Step 6: Final answer
    x = 428.58

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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.