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Finding the Fourth Proportional to 965.01, 1,446.30 and 416.64

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Solution

The fourth proportional to 965.01, 1,446.30 and 416.64 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.01 : 1,446.30 = 416.64 : x
  2. Step 2: Convert to fraction form
    965.01/1,446.30 = 416.64/x
  3. Step 3: Cross multiply
    965.01x = 1,446.30 × 416.64
  4. Step 4: Simplify right side
    965.01x = 602,586.43
  5. Step 5: Solve for x
    x = 602,586.43/965.01
  6. Step 6: Final answer
    x = 624.44

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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.