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Finding the Fourth Proportional to 501.13, 692.12 and 494.30

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Solution

The fourth proportional to 501.13, 692.12 and 494.30 is: 682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.13 : 692.12 = 494.30 : x
  2. Step 2: Convert to fraction form
    501.13/692.12 = 494.30/x
  3. Step 3: Cross multiply
    501.13x = 692.12 × 494.30
  4. Step 4: Simplify right side
    501.13x = 342,113.19
  5. Step 5: Solve for x
    x = 342,113.19/501.13
  6. Step 6: Final answer
    x = 682.69

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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.