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Finding the Fourth Proportional to 501.76, 692.22 and 305.20

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Solution

The fourth proportional to 501.76, 692.22 and 305.20 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 692.22 = 305.20 : x
  2. Step 2: Convert to fraction form
    501.76/692.22 = 305.20/x
  3. Step 3: Cross multiply
    501.76x = 692.22 × 305.20
  4. Step 4: Simplify right side
    501.76x = 211,265.54
  5. Step 5: Solve for x
    x = 211,265.54/501.76
  6. Step 6: Final answer
    x = 421.05

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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.