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Finding the Fourth Proportional to 574.26, 792.74 and 434.40

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Solution

The fourth proportional to 574.26, 792.74 and 434.40 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.26 : 792.74 = 434.40 : x
  2. Step 2: Convert to fraction form
    574.26/792.74 = 434.40/x
  3. Step 3: Cross multiply
    574.26x = 792.74 × 434.40
  4. Step 4: Simplify right side
    574.26x = 344,366.26
  5. Step 5: Solve for x
    x = 344,366.26/574.26
  6. Step 6: Final answer
    x = 599.67

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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.