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Finding the Fourth Proportional to 576.25, 795.22 and 314.26

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Solution

The fourth proportional to 576.25, 795.22 and 314.26 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 795.22 = 314.26 : x
  2. Step 2: Convert to fraction form
    576.25/795.22 = 314.26/x
  3. Step 3: Cross multiply
    576.25x = 795.22 × 314.26
  4. Step 4: Simplify right side
    576.25x = 249,905.84
  5. Step 5: Solve for x
    x = 249,905.84/576.25
  6. Step 6: Final answer
    x = 433.68

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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.