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Finding the Fourth Proportional to 308.35, 460.72 and 297.59

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Solution

The fourth proportional to 308.35, 460.72 and 297.59 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 460.72 = 297.59 : x
  2. Step 2: Convert to fraction form
    308.35/460.72 = 297.59/x
  3. Step 3: Cross multiply
    308.35x = 460.72 × 297.59
  4. Step 4: Simplify right side
    308.35x = 137,102.62
  5. Step 5: Solve for x
    x = 137,102.62/308.35
  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.