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Finding the Fourth Proportional to 305.19, 459.32 and 228.56

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Solution

The fourth proportional to 305.19, 459.32 and 228.56 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 459.32 = 228.56 : x
  2. Step 2: Convert to fraction form
    305.19/459.32 = 228.56/x
  3. Step 3: Cross multiply
    305.19x = 459.32 × 228.56
  4. Step 4: Simplify right side
    305.19x = 104,978.74
  5. Step 5: Solve for x
    x = 104,978.74/305.19
  6. Step 6: Final answer
    x = 343.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.