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Finding the Fourth Proportional to 305.64, 423.77 and 299.70

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Solution

The fourth proportional to 305.64, 423.77 and 299.70 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 423.77 = 299.70 : x
  2. Step 2: Convert to fraction form
    305.64/423.77 = 299.70/x
  3. Step 3: Cross multiply
    305.64x = 423.77 × 299.70
  4. Step 4: Simplify right side
    305.64x = 127,002.37
  5. Step 5: Solve for x
    x = 127,002.37/305.64
  6. Step 6: Final answer
    x = 415.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.