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Finding the Fourth Proportional to 964.40, 1,446.08 and 416.24

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Solution

The fourth proportional to 964.40, 1,446.08 and 416.24 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.40 : 1,446.08 = 416.24 : x
  2. Step 2: Convert to fraction form
    964.40/1,446.08 = 416.24/x
  3. Step 3: Cross multiply
    964.40x = 1,446.08 × 416.24
  4. Step 4: Simplify right side
    964.40x = 601,916.34
  5. Step 5: Solve for x
    x = 601,916.34/964.40
  6. Step 6: Final answer
    x = 624.14

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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.