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Finding the Fourth Proportional to 501.56, 692.28 and 305.24

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Solution

The fourth proportional to 501.56, 692.28 and 305.24 is: 421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.56 : 692.28 = 305.24 : x
  2. Step 2: Convert to fraction form
    501.56/692.28 = 305.24/x
  3. Step 3: Cross multiply
    501.56x = 692.28 × 305.24
  4. Step 4: Simplify right side
    501.56x = 211,309.54
  5. Step 5: Solve for x
    x = 211,309.54/501.56
  6. Step 6: Final answer
    x = 421.30

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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.