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Finding the Fourth Proportional to 486.32, 670.65 and 320.47

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Solution

The fourth proportional to 486.32, 670.65 and 320.47 is: 441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 670.65 = 320.47 : x
  2. Step 2: Convert to fraction form
    486.32/670.65 = 320.47/x
  3. Step 3: Cross multiply
    486.32x = 670.65 × 320.47
  4. Step 4: Simplify right side
    486.32x = 214,920.33
  5. Step 5: Solve for x
    x = 214,920.33/486.32
  6. Step 6: Final answer
    x = 441.94

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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.