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Finding the Fourth Proportional to 622.56, 858.73 and 383.20

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Solution

The fourth proportional to 622.56, 858.73 and 383.20 is: 528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.56 : 858.73 = 383.20 : x
  2. Step 2: Convert to fraction form
    622.56/858.73 = 383.20/x
  3. Step 3: Cross multiply
    622.56x = 858.73 × 383.20
  4. Step 4: Simplify right side
    622.56x = 329,065.34
  5. Step 5: Solve for x
    x = 329,065.34/622.56
  6. Step 6: Final answer
    x = 528.57

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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.