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Finding the Fourth Proportional to 652.06, 978.25 and 300.50

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Solution

The fourth proportional to 652.06, 978.25 and 300.50 is: 450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 978.25 = 300.50 : x
  2. Step 2: Convert to fraction form
    652.06/978.25 = 300.50/x
  3. Step 3: Cross multiply
    652.06x = 978.25 × 300.50
  4. Step 4: Simplify right side
    652.06x = 293,964.13
  5. Step 5: Solve for x
    x = 293,964.13/652.06
  6. Step 6: Final answer
    x = 450.82

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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.