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Finding the Fourth Proportional to 495.66, 684 and 321

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Solution

The fourth proportional to 495.66, 684 and 321 is: 442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.66 : 684 = 321 : x
  2. Step 2: Convert to fraction form
    495.66/684 = 321/x
  3. Step 3: Cross multiply
    495.66x = 684 × 321
  4. Step 4: Simplify right side
    495.66x = 219,564
  5. Step 5: Solve for x
    x = 219,564/495.66
  6. Step 6: Final answer
    x = 442.97

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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.