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Finding the Fourth Proportional to 306.18, 457.25 and 300.11

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Solution

The fourth proportional to 306.18, 457.25 and 300.11 is: 448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 457.25 = 300.11 : x
  2. Step 2: Convert to fraction form
    306.18/457.25 = 300.11/x
  3. Step 3: Cross multiply
    306.18x = 457.25 × 300.11
  4. Step 4: Simplify right side
    306.18x = 137,221.51
  5. Step 5: Solve for x
    x = 137,221.51/306.18
  6. Step 6: Final answer
    x = 448.17

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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.