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Finding the Fourth Proportional to 495.78, 744.06 and 264.92

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Solution

The fourth proportional to 495.78, 744.06 and 264.92 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 744.06 = 264.92 : x
  2. Step 2: Convert to fraction form
    495.78/744.06 = 264.92/x
  3. Step 3: Cross multiply
    495.78x = 744.06 × 264.92
  4. Step 4: Simplify right side
    495.78x = 197,116.38
  5. Step 5: Solve for x
    x = 197,116.38/495.78
  6. Step 6: Final answer
    x = 397.59

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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.