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Finding the Fourth Proportional to 576.77, 795.94 and 340.72

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Solution

The fourth proportional to 576.77, 795.94 and 340.72 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.77 : 795.94 = 340.72 : x
  2. Step 2: Convert to fraction form
    576.77/795.94 = 340.72/x
  3. Step 3: Cross multiply
    576.77x = 795.94 × 340.72
  4. Step 4: Simplify right side
    576.77x = 271,192.68
  5. Step 5: Solve for x
    x = 271,192.68/576.77
  6. Step 6: Final answer
    x = 470.19

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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.