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Finding the Fourth Proportional to 622.74, 859.32 and 435.90

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Solution

The fourth proportional to 622.74, 859.32 and 435.90 is: 601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.74 : 859.32 = 435.90 : x
  2. Step 2: Convert to fraction form
    622.74/859.32 = 435.90/x
  3. Step 3: Cross multiply
    622.74x = 859.32 × 435.90
  4. Step 4: Simplify right side
    622.74x = 374,577.59
  5. Step 5: Solve for x
    x = 374,577.59/622.74
  6. Step 6: Final answer
    x = 601.50

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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.