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Finding the Fourth Proportional to 374.26, 512.74 and 360.24

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Solution

The fourth proportional to 374.26, 512.74 and 360.24 is: 493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.26 : 512.74 = 360.24 : x
  2. Step 2: Convert to fraction form
    374.26/512.74 = 360.24/x
  3. Step 3: Cross multiply
    374.26x = 512.74 × 360.24
  4. Step 4: Simplify right side
    374.26x = 184,708.38
  5. Step 5: Solve for x
    x = 184,708.38/374.26
  6. Step 6: Final answer
    x = 493.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.