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Finding the Fourth Proportional to 495.04, 682.96 and 308.32

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Solution

The fourth proportional to 495.04, 682.96 and 308.32 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.04 : 682.96 = 308.32 : x
  2. Step 2: Convert to fraction form
    495.04/682.96 = 308.32/x
  3. Step 3: Cross multiply
    495.04x = 682.96 × 308.32
  4. Step 4: Simplify right side
    495.04x = 210,570.23
  5. Step 5: Solve for x
    x = 210,570.23/495.04
  6. Step 6: Final answer
    x = 425.36

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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.