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Finding the Fourth Proportional to 301.59, 416.16 and 275.49

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Solution

The fourth proportional to 301.59, 416.16 and 275.49 is: 380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 416.16 = 275.49 : x
  2. Step 2: Convert to fraction form
    301.59/416.16 = 275.49/x
  3. Step 3: Cross multiply
    301.59x = 416.16 × 275.49
  4. Step 4: Simplify right side
    301.59x = 114,647.92
  5. Step 5: Solve for x
    x = 114,647.92/301.59
  6. Step 6: Final answer
    x = 380.14

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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.