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Finding the Fourth Proportional to 501.86, 692.62 and 305.34

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Solution

The fourth proportional to 501.86, 692.62 and 305.34 is: 421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 692.62 = 305.34 : x
  2. Step 2: Convert to fraction form
    501.86/692.62 = 305.34/x
  3. Step 3: Cross multiply
    501.86x = 692.62 × 305.34
  4. Step 4: Simplify right side
    501.86x = 211,481.23
  5. Step 5: Solve for x
    x = 211,481.23/501.86
  6. Step 6: Final answer
    x = 421.39

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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.