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Finding the Fourth Proportional to 524.32, 723.36 and 367.04

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Solution

The fourth proportional to 524.32, 723.36 and 367.04 is: 506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 723.36 = 367.04 : x
  2. Step 2: Convert to fraction form
    524.32/723.36 = 367.04/x
  3. Step 3: Cross multiply
    524.32x = 723.36 × 367.04
  4. Step 4: Simplify right side
    524.32x = 265,502.05
  5. Step 5: Solve for x
    x = 265,502.05/524.32
  6. Step 6: Final answer
    x = 506.37

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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.