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Finding the Fourth Proportional to 495.99, 744.23 and 374.99

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Solution

The fourth proportional to 495.99, 744.23 and 374.99 is: 562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 744.23 = 374.99 : x
  2. Step 2: Convert to fraction form
    495.99/744.23 = 374.99/x
  3. Step 3: Cross multiply
    495.99x = 744.23 × 374.99
  4. Step 4: Simplify right side
    495.99x = 279,076.02
  5. Step 5: Solve for x
    x = 279,076.02/495.99
  6. Step 6: Final answer
    x = 562.66

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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.