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Finding the Fourth Proportional to 495.71, 684.30 and 321.14

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Solution

The fourth proportional to 495.71, 684.30 and 321.14 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.71 : 684.30 = 321.14 : x
  2. Step 2: Convert to fraction form
    495.71/684.30 = 321.14/x
  3. Step 3: Cross multiply
    495.71x = 684.30 × 321.14
  4. Step 4: Simplify right side
    495.71x = 219,756.10
  5. Step 5: Solve for x
    x = 219,756.10/495.71
  6. Step 6: Final answer
    x = 443.32

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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.