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Finding the Fourth Proportional to 526.62, 727.38 and 361.38

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Solution

The fourth proportional to 526.62, 727.38 and 361.38 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.62 : 727.38 = 361.38 : x
  2. Step 2: Convert to fraction form
    526.62/727.38 = 361.38/x
  3. Step 3: Cross multiply
    526.62x = 727.38 × 361.38
  4. Step 4: Simplify right side
    526.62x = 262,856.50
  5. Step 5: Solve for x
    x = 262,856.50/526.62
  6. Step 6: Final answer
    x = 499.14

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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.