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Finding the Fourth Proportional to 407.98, 612.54 and 326.56

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Solution

The fourth proportional to 407.98, 612.54 and 326.56 is: 490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.98 : 612.54 = 326.56 : x
  2. Step 2: Convert to fraction form
    407.98/612.54 = 326.56/x
  3. Step 3: Cross multiply
    407.98x = 612.54 × 326.56
  4. Step 4: Simplify right side
    407.98x = 200,031.06
  5. Step 5: Solve for x
    x = 200,031.06/407.98
  6. Step 6: Final answer
    x = 490.30

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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.