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Finding the Fourth Proportional to 652.37, 978.39 and 190.02

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Solution

The fourth proportional to 652.37, 978.39 and 190.02 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.37 : 978.39 = 190.02 : x
  2. Step 2: Convert to fraction form
    652.37/978.39 = 190.02/x
  3. Step 3: Cross multiply
    652.37x = 978.39 × 190.02
  4. Step 4: Simplify right side
    652.37x = 185,917.34
  5. Step 5: Solve for x
    x = 185,917.34/652.37
  6. Step 6: Final answer
    x = 284.99

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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.