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Finding the Fourth Proportional to 527.09, 727.52 and 361.24

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Solution

The fourth proportional to 527.09, 727.52 and 361.24 is: 498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.09 : 727.52 = 361.24 : x
  2. Step 2: Convert to fraction form
    527.09/727.52 = 361.24/x
  3. Step 3: Cross multiply
    527.09x = 727.52 × 361.24
  4. Step 4: Simplify right side
    527.09x = 262,805.70
  5. Step 5: Solve for x
    x = 262,805.70/527.09
  6. Step 6: Final answer
    x = 498.60

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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.