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Finding the Fourth Proportional to 576.99, 796.35 and 340.93

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Solution

The fourth proportional to 576.99, 796.35 and 340.93 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.99 : 796.35 = 340.93 : x
  2. Step 2: Convert to fraction form
    576.99/796.35 = 340.93/x
  3. Step 3: Cross multiply
    576.99x = 796.35 × 340.93
  4. Step 4: Simplify right side
    576.99x = 271,495.62
  5. Step 5: Solve for x
    x = 271,495.62/576.99
  6. Step 6: Final answer
    x = 470.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.