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Finding the Fourth Proportional to 439.23, 657.72 and 341.43

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Solution

The fourth proportional to 439.23, 657.72 and 341.43 is: 511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.23 : 657.72 = 341.43 : x
  2. Step 2: Convert to fraction form
    439.23/657.72 = 341.43/x
  3. Step 3: Cross multiply
    439.23x = 657.72 × 341.43
  4. Step 4: Simplify right side
    439.23x = 224,565.34
  5. Step 5: Solve for x
    x = 224,565.34/439.23
  6. Step 6: Final answer
    x = 511.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.