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Finding the Fourth Proportional to 622.13, 857.07 and 435.29

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Solution

The fourth proportional to 622.13, 857.07 and 435.29 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 857.07 = 435.29 : x
  2. Step 2: Convert to fraction form
    622.13/857.07 = 435.29/x
  3. Step 3: Cross multiply
    622.13x = 857.07 × 435.29
  4. Step 4: Simplify right side
    622.13x = 373,071.82
  5. Step 5: Solve for x
    x = 373,071.82/622.13
  6. Step 6: Final answer
    x = 599.67

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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.