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Finding the Fourth Proportional to 602.84, 904.38 and 218.12

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Solution

The fourth proportional to 602.84, 904.38 and 218.12 is: 327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.84 : 904.38 = 218.12 : x
  2. Step 2: Convert to fraction form
    602.84/904.38 = 218.12/x
  3. Step 3: Cross multiply
    602.84x = 904.38 × 218.12
  4. Step 4: Simplify right side
    602.84x = 197,263.37
  5. Step 5: Solve for x
    x = 197,263.37/602.84
  6. Step 6: Final answer
    x = 327.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.