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Finding the Fourth Proportional to 524.96, 723.92 and 367.28

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Solution

The fourth proportional to 524.96, 723.92 and 367.28 is: 506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 723.92 = 367.28 : x
  2. Step 2: Convert to fraction form
    524.96/723.92 = 367.28/x
  3. Step 3: Cross multiply
    524.96x = 723.92 × 367.28
  4. Step 4: Simplify right side
    524.96x = 265,881.34
  5. Step 5: Solve for x
    x = 265,881.34/524.96
  6. Step 6: Final answer
    x = 506.48

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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.