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Finding the Fourth Proportional to 368.69, 507.74 and 367.57

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Solution

The fourth proportional to 368.69, 507.74 and 367.57 is: 506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.69 : 507.74 = 367.57 : x
  2. Step 2: Convert to fraction form
    368.69/507.74 = 367.57/x
  3. Step 3: Cross multiply
    368.69x = 507.74 × 367.57
  4. Step 4: Simplify right side
    368.69x = 186,628.79
  5. Step 5: Solve for x
    x = 186,628.79/368.69
  6. Step 6: Final answer
    x = 506.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.