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Finding the Fourth Proportional to 305.76, 420.48 and 266.88

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Solution

The fourth proportional to 305.76, 420.48 and 266.88 is: 367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 420.48 = 266.88 : x
  2. Step 2: Convert to fraction form
    305.76/420.48 = 266.88/x
  3. Step 3: Cross multiply
    305.76x = 420.48 × 266.88
  4. Step 4: Simplify right side
    305.76x = 112,217.70
  5. Step 5: Solve for x
    x = 112,217.70/305.76
  6. Step 6: Final answer
    x = 367.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.