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Finding the Fourth Proportional to 576.05, 794.91 and 314.06

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Solution

The fourth proportional to 576.05, 794.91 and 314.06 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.05 : 794.91 = 314.06 : x
  2. Step 2: Convert to fraction form
    576.05/794.91 = 314.06/x
  3. Step 3: Cross multiply
    576.05x = 794.91 × 314.06
  4. Step 4: Simplify right side
    576.05x = 249,649.43
  5. Step 5: Solve for x
    x = 249,649.43/576.05
  6. Step 6: Final answer
    x = 433.38

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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.