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Finding the Fourth Proportional to 652.03, 978.14 and 219.04

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Solution

The fourth proportional to 652.03, 978.14 and 219.04 is: 328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.03 : 978.14 = 219.04 : x
  2. Step 2: Convert to fraction form
    652.03/978.14 = 219.04/x
  3. Step 3: Cross multiply
    652.03x = 978.14 × 219.04
  4. Step 4: Simplify right side
    652.03x = 214,251.79
  5. Step 5: Solve for x
    x = 214,251.79/652.03
  6. Step 6: Final answer
    x = 328.59

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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.