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Finding the Fourth Proportional to 439.52, 606.63 and 365.77

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Solution

The fourth proportional to 439.52, 606.63 and 365.77 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.52 : 606.63 = 365.77 : x
  2. Step 2: Convert to fraction form
    439.52/606.63 = 365.77/x
  3. Step 3: Cross multiply
    439.52x = 606.63 × 365.77
  4. Step 4: Simplify right side
    439.52x = 221,886.91
  5. Step 5: Solve for x
    x = 221,886.91/439.52
  6. Step 6: Final answer
    x = 504.84

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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.