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Finding the Fourth Proportional to 326.19, 488.84 and 316.34

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Solution

The fourth proportional to 326.19, 488.84 and 316.34 is: 474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.19 : 488.84 = 316.34 : x
  2. Step 2: Convert to fraction form
    326.19/488.84 = 316.34/x
  3. Step 3: Cross multiply
    326.19x = 488.84 × 316.34
  4. Step 4: Simplify right side
    326.19x = 154,637.45
  5. Step 5: Solve for x
    x = 154,637.45/326.19
  6. Step 6: Final answer
    x = 474.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.