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Finding the Fourth Proportional to 326.12, 491.12 and 294

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Solution

The fourth proportional to 326.12, 491.12 and 294 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.12 : 491.12 = 294 : x
  2. Step 2: Convert to fraction form
    326.12/491.12 = 294/x
  3. Step 3: Cross multiply
    326.12x = 491.12 × 294
  4. Step 4: Simplify right side
    326.12x = 144,389.28
  5. Step 5: Solve for x
    x = 144,389.28/326.12
  6. Step 6: Final answer
    x = 442.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.