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Finding the Fourth Proportional to 337.70, 465.08 and 259.94

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Solution

The fourth proportional to 337.70, 465.08 and 259.94 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 465.08 = 259.94 : x
  2. Step 2: Convert to fraction form
    337.70/465.08 = 259.94/x
  3. Step 3: Cross multiply
    337.70x = 465.08 × 259.94
  4. Step 4: Simplify right side
    337.70x = 120,892.90
  5. Step 5: Solve for x
    x = 120,892.90/337.70
  6. Step 6: Final answer
    x = 357.99

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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.