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Finding the Fourth Proportional to 298.84, 412.03 and 261.35

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Solution

The fourth proportional to 298.84, 412.03 and 261.35 is: 360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.84 : 412.03 = 261.35 : x
  2. Step 2: Convert to fraction form
    298.84/412.03 = 261.35/x
  3. Step 3: Cross multiply
    298.84x = 412.03 × 261.35
  4. Step 4: Simplify right side
    298.84x = 107,681.33
  5. Step 5: Solve for x
    x = 107,681.33/298.84
  6. Step 6: Final answer
    x = 360.33

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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.