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Finding the Fourth Proportional to 576.01, 794.90 and 314.03

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Solution

The fourth proportional to 576.01, 794.90 and 314.03 is: 433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 794.90 = 314.03 : x
  2. Step 2: Convert to fraction form
    576.01/794.90 = 314.03/x
  3. Step 3: Cross multiply
    576.01x = 794.90 × 314.03
  4. Step 4: Simplify right side
    576.01x = 249,620.46
  5. Step 5: Solve for x
    x = 249,620.46/576.01
  6. Step 6: Final answer
    x = 433.36

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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.