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Finding the Fourth Proportional to 460.21, 690.03 and 216.49

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Solution

The fourth proportional to 460.21, 690.03 and 216.49 is: 324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.21 : 690.03 = 216.49 : x
  2. Step 2: Convert to fraction form
    460.21/690.03 = 216.49/x
  3. Step 3: Cross multiply
    460.21x = 690.03 × 216.49
  4. Step 4: Simplify right side
    460.21x = 149,384.59
  5. Step 5: Solve for x
    x = 149,384.59/460.21
  6. Step 6: Final answer
    x = 324.60

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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.