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Finding the Fourth Proportional to 279.76, 384.84 and 246.80

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Solution

The fourth proportional to 279.76, 384.84 and 246.80 is: 339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 384.84 = 246.80 : x
  2. Step 2: Convert to fraction form
    279.76/384.84 = 246.80/x
  3. Step 3: Cross multiply
    279.76x = 384.84 × 246.80
  4. Step 4: Simplify right side
    279.76x = 94,978.51
  5. Step 5: Solve for x
    x = 94,978.51/279.76
  6. Step 6: Final answer
    x = 339.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.