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Finding the Fourth Proportional to 306.32, 421.47 and 266.84

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Solution

The fourth proportional to 306.32, 421.47 and 266.84 is: 367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 421.47 = 266.84 : x
  2. Step 2: Convert to fraction form
    306.32/421.47 = 266.84/x
  3. Step 3: Cross multiply
    306.32x = 421.47 × 266.84
  4. Step 4: Simplify right side
    306.32x = 112,462.95
  5. Step 5: Solve for x
    x = 112,462.95/306.32
  6. Step 6: Final answer
    x = 367.14

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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.