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Finding the Fourth Proportional to 622.80, 859.44 and 506.16

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Solution

The fourth proportional to 622.80, 859.44 and 506.16 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 859.44 = 506.16 : x
  2. Step 2: Convert to fraction form
    622.80/859.44 = 506.16/x
  3. Step 3: Cross multiply
    622.80x = 859.44 × 506.16
  4. Step 4: Simplify right side
    622.80x = 435,014.15
  5. Step 5: Solve for x
    x = 435,014.15/622.80
  6. Step 6: Final answer
    x = 698.48

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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.