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Finding the Fourth Proportional to 306.56, 457.56 and 270.12

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Solution

The fourth proportional to 306.56, 457.56 and 270.12 is: 403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 457.56 = 270.12 : x
  2. Step 2: Convert to fraction form
    306.56/457.56 = 270.12/x
  3. Step 3: Cross multiply
    306.56x = 457.56 × 270.12
  4. Step 4: Simplify right side
    306.56x = 123,596.11
  5. Step 5: Solve for x
    x = 123,596.11/306.56
  6. Step 6: Final answer
    x = 403.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.