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Finding the Fourth Proportional to 712.48, 983.12 and 417.44

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Solution

The fourth proportional to 712.48, 983.12 and 417.44 is: 576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.48 : 983.12 = 417.44 : x
  2. Step 2: Convert to fraction form
    712.48/983.12 = 417.44/x
  3. Step 3: Cross multiply
    712.48x = 983.12 × 417.44
  4. Step 4: Simplify right side
    712.48x = 410,393.61
  5. Step 5: Solve for x
    x = 410,393.61/712.48
  6. Step 6: Final answer
    x = 576.01

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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.