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Finding the Fourth Proportional to 964.54, 1,446.81 and 348.24

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Solution

The fourth proportional to 964.54, 1,446.81 and 348.24 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.54 : 1,446.81 = 348.24 : x
  2. Step 2: Convert to fraction form
    964.54/1,446.81 = 348.24/x
  3. Step 3: Cross multiply
    964.54x = 1,446.81 × 348.24
  4. Step 4: Simplify right side
    964.54x = 503,837.65
  5. Step 5: Solve for x
    x = 503,837.65/964.54
  6. Step 6: Final answer
    x = 522.36

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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.