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Finding the Fourth Proportional to 576.37, 795.40 and 314.39

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Solution

The fourth proportional to 576.37, 795.40 and 314.39 is: 433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.37 : 795.40 = 314.39 : x
  2. Step 2: Convert to fraction form
    576.37/795.40 = 314.39/x
  3. Step 3: Cross multiply
    576.37x = 795.40 × 314.39
  4. Step 4: Simplify right side
    576.37x = 250,064.30
  5. Step 5: Solve for x
    x = 250,064.30/576.37
  6. Step 6: Final answer
    x = 433.86

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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.