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Finding the Fourth Proportional to 869.00, 1,304.37 and 430.56

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Solution

The fourth proportional to 869.00, 1,304.37 and 430.56 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.00 : 1,304.37 = 430.56 : x
  2. Step 2: Convert to fraction form
    869.00/1,304.37 = 430.56/x
  3. Step 3: Cross multiply
    869.00x = 1,304.37 × 430.56
  4. Step 4: Simplify right side
    869.00x = 561,609.55
  5. Step 5: Solve for x
    x = 561,609.55/869.00
  6. Step 6: Final answer
    x = 646.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.