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Finding the Fourth Proportional to 495.60, 744.74 and 264.65

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Solution

The fourth proportional to 495.60, 744.74 and 264.65 is: 397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 744.74 = 264.65 : x
  2. Step 2: Convert to fraction form
    495.60/744.74 = 264.65/x
  3. Step 3: Cross multiply
    495.60x = 744.74 × 264.65
  4. Step 4: Simplify right side
    495.60x = 197,095.44
  5. Step 5: Solve for x
    x = 197,095.44/495.60
  6. Step 6: Final answer
    x = 397.69

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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.