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Finding the Fourth Proportional to 501.36, 692.74 and 361.20

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Solution

The fourth proportional to 501.36, 692.74 and 361.20 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 692.74 = 361.20 : x
  2. Step 2: Convert to fraction form
    501.36/692.74 = 361.20/x
  3. Step 3: Cross multiply
    501.36x = 692.74 × 361.20
  4. Step 4: Simplify right side
    501.36x = 250,217.69
  5. Step 5: Solve for x
    x = 250,217.69/501.36
  6. Step 6: Final answer
    x = 499.08

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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.