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Finding the Fourth Proportional to 338.64, 467.43 and 214.50

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Solution

The fourth proportional to 338.64, 467.43 and 214.50 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 467.43 = 214.50 : x
  2. Step 2: Convert to fraction form
    338.64/467.43 = 214.50/x
  3. Step 3: Cross multiply
    338.64x = 467.43 × 214.50
  4. Step 4: Simplify right side
    338.64x = 100,263.74
  5. Step 5: Solve for x
    x = 100,263.74/338.64
  6. Step 6: Final answer
    x = 296.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.