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Finding the Fourth Proportional to 305.76, 459.84 and 245.28

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Solution

The fourth proportional to 305.76, 459.84 and 245.28 is: 368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 459.84 = 245.28 : x
  2. Step 2: Convert to fraction form
    305.76/459.84 = 245.28/x
  3. Step 3: Cross multiply
    305.76x = 459.84 × 245.28
  4. Step 4: Simplify right side
    305.76x = 112,789.56
  5. Step 5: Solve for x
    x = 112,789.56/305.76
  6. Step 6: Final answer
    x = 368.88

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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.