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Finding the Fourth Proportional to 495.82, 744.36 and 313.98

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Solution

The fourth proportional to 495.82, 744.36 and 313.98 is: 471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.82 : 744.36 = 313.98 : x
  2. Step 2: Convert to fraction form
    495.82/744.36 = 313.98/x
  3. Step 3: Cross multiply
    495.82x = 744.36 × 313.98
  4. Step 4: Simplify right side
    495.82x = 233,714.15
  5. Step 5: Solve for x
    x = 233,714.15/495.82
  6. Step 6: Final answer
    x = 471.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.