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Finding the Fourth Proportional to 301.23, 414.45 and 253.80

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Solution

The fourth proportional to 301.23, 414.45 and 253.80 is: 349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 414.45 = 253.80 : x
  2. Step 2: Convert to fraction form
    301.23/414.45 = 253.80/x
  3. Step 3: Cross multiply
    301.23x = 414.45 × 253.80
  4. Step 4: Simplify right side
    301.23x = 105,187.41
  5. Step 5: Solve for x
    x = 105,187.41/301.23
  6. Step 6: Final answer
    x = 349.19

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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.