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Finding the Fourth Proportional to 326.84, 450.42 and 253

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Solution

The fourth proportional to 326.84, 450.42 and 253 is: 348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.84 : 450.42 = 253 : x
  2. Step 2: Convert to fraction form
    326.84/450.42 = 253/x
  3. Step 3: Cross multiply
    326.84x = 450.42 × 253
  4. Step 4: Simplify right side
    326.84x = 113,956.26
  5. Step 5: Solve for x
    x = 113,956.26/326.84
  6. Step 6: Final answer
    x = 348.66

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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.