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Finding the Fourth Proportional to 501.71, 692.04 and 361.57

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Solution

The fourth proportional to 501.71, 692.04 and 361.57 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.71 : 692.04 = 361.57 : x
  2. Step 2: Convert to fraction form
    501.71/692.04 = 361.57/x
  3. Step 3: Cross multiply
    501.71x = 692.04 × 361.57
  4. Step 4: Simplify right side
    501.71x = 250,219.17
  5. Step 5: Solve for x
    x = 250,219.17/501.71
  6. Step 6: Final answer
    x = 498.74

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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.