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Finding the Fourth Proportional to 576.22, 795.17 and 314.24

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Solution

The fourth proportional to 576.22, 795.17 and 314.24 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.22 : 795.17 = 314.24 : x
  2. Step 2: Convert to fraction form
    576.22/795.17 = 314.24/x
  3. Step 3: Cross multiply
    576.22x = 795.17 × 314.24
  4. Step 4: Simplify right side
    576.22x = 249,869.26
  5. Step 5: Solve for x
    x = 249,869.26/576.22
  6. Step 6: Final answer
    x = 433.64

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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.