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Finding the Fourth Proportional to 308.08, 459.14 and 297.68

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Solution

The fourth proportional to 308.08, 459.14 and 297.68 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.08 : 459.14 = 297.68 : x
  2. Step 2: Convert to fraction form
    308.08/459.14 = 297.68/x
  3. Step 3: Cross multiply
    308.08x = 459.14 × 297.68
  4. Step 4: Simplify right side
    308.08x = 136,676.80
  5. Step 5: Solve for x
    x = 136,676.80/308.08
  6. Step 6: Final answer
    x = 443.64

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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.