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Finding the Fourth Proportional to 623.43, 936.09 and 488.16

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Solution

The fourth proportional to 623.43, 936.09 and 488.16 is: 732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.43 : 936.09 = 488.16 : x
  2. Step 2: Convert to fraction form
    623.43/936.09 = 488.16/x
  3. Step 3: Cross multiply
    623.43x = 936.09 × 488.16
  4. Step 4: Simplify right side
    623.43x = 456,961.69
  5. Step 5: Solve for x
    x = 456,961.69/623.43
  6. Step 6: Final answer
    x = 732.98

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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.