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Finding the Fourth Proportional to 501.48, 692.72 and 396.69

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Solution

The fourth proportional to 501.48, 692.72 and 396.69 is: 547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 692.72 = 396.69 : x
  2. Step 2: Convert to fraction form
    501.48/692.72 = 396.69/x
  3. Step 3: Cross multiply
    501.48x = 692.72 × 396.69
  4. Step 4: Simplify right side
    501.48x = 274,795.10
  5. Step 5: Solve for x
    x = 274,795.10/501.48
  6. Step 6: Final answer
    x = 547.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.