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Finding the Fourth Proportional to 622.86, 858.99 and 491.64

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Solution

The fourth proportional to 622.86, 858.99 and 491.64 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.86 : 858.99 = 491.64 : x
  2. Step 2: Convert to fraction form
    622.86/858.99 = 491.64/x
  3. Step 3: Cross multiply
    622.86x = 858.99 × 491.64
  4. Step 4: Simplify right side
    622.86x = 422,313.84
  5. Step 5: Solve for x
    x = 422,313.84/622.86
  6. Step 6: Final answer
    x = 678.02

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