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Finding the Fourth Proportional to 501.67, 692.11 and 291.82

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Solution

The fourth proportional to 501.67, 692.11 and 291.82 is: 402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.67 : 692.11 = 291.82 : x
  2. Step 2: Convert to fraction form
    501.67/692.11 = 291.82/x
  3. Step 3: Cross multiply
    501.67x = 692.11 × 291.82
  4. Step 4: Simplify right side
    501.67x = 201,971.54
  5. Step 5: Solve for x
    x = 201,971.54/501.67
  6. Step 6: Final answer
    x = 402.60

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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.