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Finding the Fourth Proportional to 430.80, 645.39 and 366

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Solution

The fourth proportional to 430.80, 645.39 and 366 is: 548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 645.39 = 366 : x
  2. Step 2: Convert to fraction form
    430.80/645.39 = 366/x
  3. Step 3: Cross multiply
    430.80x = 645.39 × 366
  4. Step 4: Simplify right side
    430.80x = 236,212.74
  5. Step 5: Solve for x
    x = 236,212.74/430.80
  6. Step 6: Final answer
    x = 548.31

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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.