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Finding the Fourth Proportional to 524.49, 723.93 and 367.15

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Solution

The fourth proportional to 524.49, 723.93 and 367.15 is: 506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.49 : 723.93 = 367.15 : x
  2. Step 2: Convert to fraction form
    524.49/723.93 = 367.15/x
  3. Step 3: Cross multiply
    524.49x = 723.93 × 367.15
  4. Step 4: Simplify right side
    524.49x = 265,790.90
  5. Step 5: Solve for x
    x = 265,790.90/524.49
  6. Step 6: Final answer
    x = 506.76

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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.