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Finding the Fourth Proportional to 501.50, 692.07 and 294.50

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Solution

The fourth proportional to 501.50, 692.07 and 294.50 is: 406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.50 : 692.07 = 294.50 : x
  2. Step 2: Convert to fraction form
    501.50/692.07 = 294.50/x
  3. Step 3: Cross multiply
    501.50x = 692.07 × 294.50
  4. Step 4: Simplify right side
    501.50x = 203,814.62
  5. Step 5: Solve for x
    x = 203,814.62/501.50
  6. Step 6: Final answer
    x = 406.41

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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.