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Finding the Fourth Proportional to 308.94, 464.40 and 248.74

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Solution

The fourth proportional to 308.94, 464.40 and 248.74 is: 373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.94 : 464.40 = 248.74 : x
  2. Step 2: Convert to fraction form
    308.94/464.40 = 248.74/x
  3. Step 3: Cross multiply
    308.94x = 464.40 × 248.74
  4. Step 4: Simplify right side
    308.94x = 115,514.86
  5. Step 5: Solve for x
    x = 115,514.86/308.94
  6. Step 6: Final answer
    x = 373.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.