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Finding the Fourth Proportional to 501.98, 692.33 and 305.28

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Solution

The fourth proportional to 501.98, 692.33 and 305.28 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 692.33 = 305.28 : x
  2. Step 2: Convert to fraction form
    501.98/692.33 = 305.28/x
  3. Step 3: Cross multiply
    501.98x = 692.33 × 305.28
  4. Step 4: Simplify right side
    501.98x = 211,352.98
  5. Step 5: Solve for x
    x = 211,352.98/501.98
  6. Step 6: Final answer
    x = 421.04

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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.