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Finding the Fourth Proportional to 964.24, 1,446.63 and 416.46

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Solution

The fourth proportional to 964.24, 1,446.63 and 416.46 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.24 : 1,446.63 = 416.46 : x
  2. Step 2: Convert to fraction form
    964.24/1,446.63 = 416.46/x
  3. Step 3: Cross multiply
    964.24x = 1,446.63 × 416.46
  4. Step 4: Simplify right side
    964.24x = 602,463.53
  5. Step 5: Solve for x
    x = 602,463.53/964.24
  6. Step 6: Final answer
    x = 624.81

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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.