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Finding the Fourth Proportional to 576.20, 795.20 and 314.24

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Solution

The fourth proportional to 576.20, 795.20 and 314.24 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 795.20 = 314.24 : x
  2. Step 2: Convert to fraction form
    576.20/795.20 = 314.24/x
  3. Step 3: Cross multiply
    576.20x = 795.20 × 314.24
  4. Step 4: Simplify right side
    576.20x = 249,878.10
  5. Step 5: Solve for x
    x = 249,878.10/576.20
  6. Step 6: Final answer
    x = 433.66

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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.