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Finding the Fourth Proportional to 652.60, 978.74 and 190.25

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Solution

The fourth proportional to 652.60, 978.74 and 190.25 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.60 : 978.74 = 190.25 : x
  2. Step 2: Convert to fraction form
    652.60/978.74 = 190.25/x
  3. Step 3: Cross multiply
    652.60x = 978.74 × 190.25
  4. Step 4: Simplify right side
    652.60x = 186,208.21
  5. Step 5: Solve for x
    x = 186,208.21/652.60
  6. Step 6: Final answer
    x = 285.33

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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.