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Finding the Fourth Proportional to 304.69, 454.82 and 282.13

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Solution

The fourth proportional to 304.69, 454.82 and 282.13 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.69 : 454.82 = 282.13 : x
  2. Step 2: Convert to fraction form
    304.69/454.82 = 282.13/x
  3. Step 3: Cross multiply
    304.69x = 454.82 × 282.13
  4. Step 4: Simplify right side
    304.69x = 128,318.37
  5. Step 5: Solve for x
    x = 128,318.37/304.69
  6. Step 6: Final answer
    x = 421.14

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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.