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Finding the Fourth Proportional to 322.95, 483.93 and 214.56

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Solution

The fourth proportional to 322.95, 483.93 and 214.56 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.95 : 483.93 = 214.56 : x
  2. Step 2: Convert to fraction form
    322.95/483.93 = 214.56/x
  3. Step 3: Cross multiply
    322.95x = 483.93 × 214.56
  4. Step 4: Simplify right side
    322.95x = 103,832.02
  5. Step 5: Solve for x
    x = 103,832.02/322.95
  6. Step 6: Final answer
    x = 321.51

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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.