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Finding the Fourth Proportional to 501.81, 692.24 and 377.26

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Solution

The fourth proportional to 501.81, 692.24 and 377.26 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.81 : 692.24 = 377.26 : x
  2. Step 2: Convert to fraction form
    501.81/692.24 = 377.26/x
  3. Step 3: Cross multiply
    501.81x = 692.24 × 377.26
  4. Step 4: Simplify right side
    501.81x = 261,151.51
  5. Step 5: Solve for x
    x = 261,151.51/501.81
  6. Step 6: Final answer
    x = 520.41

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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.