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Finding the Fourth Proportional to 652.84, 979.40 and 220.28

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Solution

The fourth proportional to 652.84, 979.40 and 220.28 is: 330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 979.40 = 220.28 : x
  2. Step 2: Convert to fraction form
    652.84/979.40 = 220.28/x
  3. Step 3: Cross multiply
    652.84x = 979.40 × 220.28
  4. Step 4: Simplify right side
    652.84x = 215,742.23
  5. Step 5: Solve for x
    x = 215,742.23/652.84
  6. Step 6: Final answer
    x = 330.47

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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.