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Finding the Fourth Proportional to 527.53, 727.23 and 369.67

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Solution

The fourth proportional to 527.53, 727.23 and 369.67 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.53 : 727.23 = 369.67 : x
  2. Step 2: Convert to fraction form
    527.53/727.23 = 369.67/x
  3. Step 3: Cross multiply
    527.53x = 727.23 × 369.67
  4. Step 4: Simplify right side
    527.53x = 268,835.11
  5. Step 5: Solve for x
    x = 268,835.11/527.53
  6. Step 6: Final answer
    x = 509.61

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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.