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Finding the Fourth Proportional to 306.06, 456.32 and 298.23

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Solution

The fourth proportional to 306.06, 456.32 and 298.23 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 456.32 = 298.23 : x
  2. Step 2: Convert to fraction form
    306.06/456.32 = 298.23/x
  3. Step 3: Cross multiply
    306.06x = 456.32 × 298.23
  4. Step 4: Simplify right side
    306.06x = 136,086.82
  5. Step 5: Solve for x
    x = 136,086.82/306.06
  6. Step 6: Final answer
    x = 444.64

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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.