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Finding the Fourth Proportional to 301.89, 416.64 and 260.58

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Solution

The fourth proportional to 301.89, 416.64 and 260.58 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.89 : 416.64 = 260.58 : x
  2. Step 2: Convert to fraction form
    301.89/416.64 = 260.58/x
  3. Step 3: Cross multiply
    301.89x = 416.64 × 260.58
  4. Step 4: Simplify right side
    301.89x = 108,570.59
  5. Step 5: Solve for x
    x = 108,570.59/301.89
  6. Step 6: Final answer
    x = 359.63

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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.