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Finding the Fourth Proportional to 298.50, 411.03 and 261.45

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Solution

The fourth proportional to 298.50, 411.03 and 261.45 is: 360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 411.03 = 261.45 : x
  2. Step 2: Convert to fraction form
    298.50/411.03 = 261.45/x
  3. Step 3: Cross multiply
    298.50x = 411.03 × 261.45
  4. Step 4: Simplify right side
    298.50x = 107,463.79
  5. Step 5: Solve for x
    x = 107,463.79/298.50
  6. Step 6: Final answer
    x = 360.01

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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.