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Finding the Fourth Proportional to 313.38, 469.94 and 259.11

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Solution

The fourth proportional to 313.38, 469.94 and 259.11 is: 388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 469.94 = 259.11 : x
  2. Step 2: Convert to fraction form
    313.38/469.94 = 259.11/x
  3. Step 3: Cross multiply
    313.38x = 469.94 × 259.11
  4. Step 4: Simplify right side
    313.38x = 121,764.86
  5. Step 5: Solve for x
    x = 121,764.86/313.38
  6. Step 6: Final answer
    x = 388.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.