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Finding the Fourth Proportional to 576.33, 795.36 and 314.37

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Solution

The fourth proportional to 576.33, 795.36 and 314.37 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.33 : 795.36 = 314.37 : x
  2. Step 2: Convert to fraction form
    576.33/795.36 = 314.37/x
  3. Step 3: Cross multiply
    576.33x = 795.36 × 314.37
  4. Step 4: Simplify right side
    576.33x = 250,037.32
  5. Step 5: Solve for x
    x = 250,037.32/576.33
  6. Step 6: Final answer
    x = 433.84

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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.