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Finding the Fourth Proportional to 319.44, 478.35 and 228.72

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Solution

The fourth proportional to 319.44, 478.35 and 228.72 is: 342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.44 : 478.35 = 228.72 : x
  2. Step 2: Convert to fraction form
    319.44/478.35 = 228.72/x
  3. Step 3: Cross multiply
    319.44x = 478.35 × 228.72
  4. Step 4: Simplify right side
    319.44x = 109,408.21
  5. Step 5: Solve for x
    x = 109,408.21/319.44
  6. Step 6: Final answer
    x = 342.50

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Why These Related Problems?

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