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Finding the Fourth Proportional to 652.42, 978.54 and 219.52

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Solution

The fourth proportional to 652.42, 978.54 and 219.52 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.42 : 978.54 = 219.52 : x
  2. Step 2: Convert to fraction form
    652.42/978.54 = 219.52/x
  3. Step 3: Cross multiply
    652.42x = 978.54 × 219.52
  4. Step 4: Simplify right side
    652.42x = 214,809.10
  5. Step 5: Solve for x
    x = 214,809.10/652.42
  6. Step 6: Final answer
    x = 329.25

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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.