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Finding the Fourth Proportional to 501.72, 692.32 and 294.72

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Solution

The fourth proportional to 501.72, 692.32 and 294.72 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.72 : 692.32 = 294.72 : x
  2. Step 2: Convert to fraction form
    501.72/692.32 = 294.72/x
  3. Step 3: Cross multiply
    501.72x = 692.32 × 294.72
  4. Step 4: Simplify right side
    501.72x = 204,040.55
  5. Step 5: Solve for x
    x = 204,040.55/501.72
  6. Step 6: Final answer
    x = 406.68

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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.