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Finding the Fourth Proportional to 650.59, 976.03 and 188.37

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Solution

The fourth proportional to 650.59, 976.03 and 188.37 is: 282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.59 : 976.03 = 188.37 : x
  2. Step 2: Convert to fraction form
    650.59/976.03 = 188.37/x
  3. Step 3: Cross multiply
    650.59x = 976.03 × 188.37
  4. Step 4: Simplify right side
    650.59x = 183,854.77
  5. Step 5: Solve for x
    x = 183,854.77/650.59
  6. Step 6: Final answer
    x = 282.60

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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.