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Finding the Fourth Proportional to 712.44, 982.72 and 417.64

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Solution

The fourth proportional to 712.44, 982.72 and 417.64 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 982.72 = 417.64 : x
  2. Step 2: Convert to fraction form
    712.44/982.72 = 417.64/x
  3. Step 3: Cross multiply
    712.44x = 982.72 × 417.64
  4. Step 4: Simplify right side
    712.44x = 410,423.18
  5. Step 5: Solve for x
    x = 410,423.18/712.44
  6. Step 6: Final answer
    x = 576.08

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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.