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Finding the Fourth Proportional to 964.84, 1,446.18 and 416.20

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Solution

The fourth proportional to 964.84, 1,446.18 and 416.20 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.84 : 1,446.18 = 416.20 : x
  2. Step 2: Convert to fraction form
    964.84/1,446.18 = 416.20/x
  3. Step 3: Cross multiply
    964.84x = 1,446.18 × 416.20
  4. Step 4: Simplify right side
    964.84x = 601,900.12
  5. Step 5: Solve for x
    x = 601,900.12/964.84
  6. Step 6: Final answer
    x = 623.83

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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.