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Finding the Fourth Proportional to 524.60, 723.71 and 367.25

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Solution

The fourth proportional to 524.60, 723.71 and 367.25 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 723.71 = 367.25 : x
  2. Step 2: Convert to fraction form
    524.60/723.71 = 367.25/x
  3. Step 3: Cross multiply
    524.60x = 723.71 × 367.25
  4. Step 4: Simplify right side
    524.60x = 265,785.22
  5. Step 5: Solve for x
    x = 265,785.22/524.60
  6. Step 6: Final answer
    x = 506.65

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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.