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Finding the Fourth Proportional to 439.40, 606.34 and 264.76

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Solution

The fourth proportional to 439.40, 606.34 and 264.76 is: 365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.40 : 606.34 = 264.76 : x
  2. Step 2: Convert to fraction form
    439.40/606.34 = 264.76/x
  3. Step 3: Cross multiply
    439.40x = 606.34 × 264.76
  4. Step 4: Simplify right side
    439.40x = 160,534.58
  5. Step 5: Solve for x
    x = 160,534.58/439.40
  6. Step 6: Final answer
    x = 365.35

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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.