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Finding the Fourth Proportional to 495.70, 744.06 and 264.54

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Solution

The fourth proportional to 495.70, 744.06 and 264.54 is: 397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.70 : 744.06 = 264.54 : x
  2. Step 2: Convert to fraction form
    495.70/744.06 = 264.54/x
  3. Step 3: Cross multiply
    495.70x = 744.06 × 264.54
  4. Step 4: Simplify right side
    495.70x = 196,833.63
  5. Step 5: Solve for x
    x = 196,833.63/495.70
  6. Step 6: Final answer
    x = 397.08

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