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Finding the Fourth Proportional to 302.44, 416.46 and 258.68

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Solution

The fourth proportional to 302.44, 416.46 and 258.68 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.44 : 416.46 = 258.68 : x
  2. Step 2: Convert to fraction form
    302.44/416.46 = 258.68/x
  3. Step 3: Cross multiply
    302.44x = 416.46 × 258.68
  4. Step 4: Simplify right side
    302.44x = 107,729.87
  5. Step 5: Solve for x
    x = 107,729.87/302.44
  6. Step 6: Final answer
    x = 356.20

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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.