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Finding the Fourth Proportional to 576.45, 795.83 and 399.67

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Solution

The fourth proportional to 576.45, 795.83 and 399.67 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.45 : 795.83 = 399.67 : x
  2. Step 2: Convert to fraction form
    576.45/795.83 = 399.67/x
  3. Step 3: Cross multiply
    576.45x = 795.83 × 399.67
  4. Step 4: Simplify right side
    576.45x = 318,065.39
  5. Step 5: Solve for x
    x = 318,065.39/576.45
  6. Step 6: Final answer
    x = 551.77

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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.