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Finding the Fourth Proportional to 602.68, 903.84 and 217.84

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Solution

The fourth proportional to 602.68, 903.84 and 217.84 is: 326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.68 : 903.84 = 217.84 : x
  2. Step 2: Convert to fraction form
    602.68/903.84 = 217.84/x
  3. Step 3: Cross multiply
    602.68x = 903.84 × 217.84
  4. Step 4: Simplify right side
    602.68x = 196,892.51
  5. Step 5: Solve for x
    x = 196,892.51/602.68
  6. Step 6: Final answer
    x = 326.69

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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.