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Finding the Fourth Proportional to 319.86, 478.86 and 294.35

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Solution

The fourth proportional to 319.86, 478.86 and 294.35 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.86 : 478.86 = 294.35 : x
  2. Step 2: Convert to fraction form
    319.86/478.86 = 294.35/x
  3. Step 3: Cross multiply
    319.86x = 478.86 × 294.35
  4. Step 4: Simplify right side
    319.86x = 140,950.05
  5. Step 5: Solve for x
    x = 140,950.05/319.86
  6. Step 6: Final answer
    x = 440.66

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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.