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Finding the Fourth Proportional to 501.56, 692.40 and 326.90

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Solution

The fourth proportional to 501.56, 692.40 and 326.90 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.56 : 692.40 = 326.90 : x
  2. Step 2: Convert to fraction form
    501.56/692.40 = 326.90/x
  3. Step 3: Cross multiply
    501.56x = 692.40 × 326.90
  4. Step 4: Simplify right side
    501.56x = 226,345.56
  5. Step 5: Solve for x
    x = 226,345.56/501.56
  6. Step 6: Final answer
    x = 451.28

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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.