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Finding the Fourth Proportional to 508.68, 701.66 and 309.46

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Solution

The fourth proportional to 508.68, 701.66 and 309.46 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 701.66 = 309.46 : x
  2. Step 2: Convert to fraction form
    508.68/701.66 = 309.46/x
  3. Step 3: Cross multiply
    508.68x = 701.66 × 309.46
  4. Step 4: Simplify right side
    508.68x = 217,135.70
  5. Step 5: Solve for x
    x = 217,135.70/508.68
  6. Step 6: Final answer
    x = 426.86

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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.