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Finding the Fourth Proportional to 298.81, 451.10 and 297.19

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Solution

The fourth proportional to 298.81, 451.10 and 297.19 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.81 : 451.10 = 297.19 : x
  2. Step 2: Convert to fraction form
    298.81/451.10 = 297.19/x
  3. Step 3: Cross multiply
    298.81x = 451.10 × 297.19
  4. Step 4: Simplify right side
    298.81x = 134,062.41
  5. Step 5: Solve for x
    x = 134,062.41/298.81
  6. Step 6: Final answer
    x = 448.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.