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Finding the Fourth Proportional to 298.94, 412.58 and 280.41

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Solution

The fourth proportional to 298.94, 412.58 and 280.41 is: 387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 412.58 = 280.41 : x
  2. Step 2: Convert to fraction form
    298.94/412.58 = 280.41/x
  3. Step 3: Cross multiply
    298.94x = 412.58 × 280.41
  4. Step 4: Simplify right side
    298.94x = 115,688.09
  5. Step 5: Solve for x
    x = 115,688.09/298.94
  6. Step 6: Final answer
    x = 387.00

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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.