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Finding the Fourth Proportional to 623.16, 859.78 and 491.96

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Solution

The fourth proportional to 623.16, 859.78 and 491.96 is: 678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 859.78 = 491.96 : x
  2. Step 2: Convert to fraction form
    623.16/859.78 = 491.96/x
  3. Step 3: Cross multiply
    623.16x = 859.78 × 491.96
  4. Step 4: Simplify right side
    623.16x = 422,977.37
  5. Step 5: Solve for x
    x = 422,977.37/623.16
  6. Step 6: Final answer
    x = 678.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.