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Finding the Fourth Proportional to 390.48, 537.63 and 323.82

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Solution

The fourth proportional to 390.48, 537.63 and 323.82 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 537.63 = 323.82 : x
  2. Step 2: Convert to fraction form
    390.48/537.63 = 323.82/x
  3. Step 3: Cross multiply
    390.48x = 537.63 × 323.82
  4. Step 4: Simplify right side
    390.48x = 174,095.35
  5. Step 5: Solve for x
    x = 174,095.35/390.48
  6. Step 6: Final answer
    x = 445.85

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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.