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Finding the Fourth Proportional to 319.77, 479.12 and 228.02

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Solution

The fourth proportional to 319.77, 479.12 and 228.02 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.77 : 479.12 = 228.02 : x
  2. Step 2: Convert to fraction form
    319.77/479.12 = 228.02/x
  3. Step 3: Cross multiply
    319.77x = 479.12 × 228.02
  4. Step 4: Simplify right side
    319.77x = 109,245.41
  5. Step 5: Solve for x
    x = 109,245.41/319.77
  6. Step 6: Final answer
    x = 341.64

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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.