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Finding the Fourth Proportional to 576.20, 794.86 and 436.34

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Solution

The fourth proportional to 576.20, 794.86 and 436.34 is: 601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 794.86 = 436.34 : x
  2. Step 2: Convert to fraction form
    576.20/794.86 = 436.34/x
  3. Step 3: Cross multiply
    576.20x = 794.86 × 436.34
  4. Step 4: Simplify right side
    576.20x = 346,823.06
  5. Step 5: Solve for x
    x = 346,823.06/576.20
  6. Step 6: Final answer
    x = 601.92

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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.