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Finding the Fourth Proportional to 712.40, 983.09 and 417.60

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Solution

The fourth proportional to 712.40, 983.09 and 417.60 is: 576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.40 : 983.09 = 417.60 : x
  2. Step 2: Convert to fraction form
    712.40/983.09 = 417.60/x
  3. Step 3: Cross multiply
    712.40x = 983.09 × 417.60
  4. Step 4: Simplify right side
    712.40x = 410,536.30
  5. Step 5: Solve for x
    x = 410,536.30/712.40
  6. Step 6: Final answer
    x = 576.28

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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.