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Finding the Fourth Proportional to 301.07, 416.13 and 265.85

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Solution

The fourth proportional to 301.07, 416.13 and 265.85 is: 367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 416.13 = 265.85 : x
  2. Step 2: Convert to fraction form
    301.07/416.13 = 265.85/x
  3. Step 3: Cross multiply
    301.07x = 416.13 × 265.85
  4. Step 4: Simplify right side
    301.07x = 110,628.16
  5. Step 5: Solve for x
    x = 110,628.16/301.07
  6. Step 6: Final answer
    x = 367.45

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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.