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Finding the Fourth Proportional to 622.40, 858.96 and 474.78

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Solution

The fourth proportional to 622.40, 858.96 and 474.78 is: 655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 858.96 = 474.78 : x
  2. Step 2: Convert to fraction form
    622.40/858.96 = 474.78/x
  3. Step 3: Cross multiply
    622.40x = 858.96 × 474.78
  4. Step 4: Simplify right side
    622.40x = 407,817.03
  5. Step 5: Solve for x
    x = 407,817.03/622.40
  6. Step 6: Final answer
    x = 655.23

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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.