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Finding the Fourth Proportional to 659.22, 989.10 and 415.50

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Solution

The fourth proportional to 659.22, 989.10 and 415.50 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.22 : 989.10 = 415.50 : x
  2. Step 2: Convert to fraction form
    659.22/989.10 = 415.50/x
  3. Step 3: Cross multiply
    659.22x = 989.10 × 415.50
  4. Step 4: Simplify right side
    659.22x = 410,971.05
  5. Step 5: Solve for x
    x = 410,971.05/659.22
  6. Step 6: Final answer
    x = 623.42

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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.