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Finding the Fourth Proportional to 322.79, 484.58 and 305.78

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Solution

The fourth proportional to 322.79, 484.58 and 305.78 is: 459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 484.58 = 305.78 : x
  2. Step 2: Convert to fraction form
    322.79/484.58 = 305.78/x
  3. Step 3: Cross multiply
    322.79x = 484.58 × 305.78
  4. Step 4: Simplify right side
    322.79x = 148,170.92
  5. Step 5: Solve for x
    x = 148,170.92/322.79
  6. Step 6: Final answer
    x = 459.04

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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.