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Finding the Fourth Proportional to 306.51, 457.49 and 282.11

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Solution

The fourth proportional to 306.51, 457.49 and 282.11 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.51 : 457.49 = 282.11 : x
  2. Step 2: Convert to fraction form
    306.51/457.49 = 282.11/x
  3. Step 3: Cross multiply
    306.51x = 457.49 × 282.11
  4. Step 4: Simplify right side
    306.51x = 129,060.92
  5. Step 5: Solve for x
    x = 129,060.92/306.51
  6. Step 6: Final answer
    x = 421.07

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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.