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Finding the Fourth Proportional to 692.57, 954.29 and 471.13

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Solution

The fourth proportional to 692.57, 954.29 and 471.13 is: 649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.57 : 954.29 = 471.13 : x
  2. Step 2: Convert to fraction form
    692.57/954.29 = 471.13/x
  3. Step 3: Cross multiply
    692.57x = 954.29 × 471.13
  4. Step 4: Simplify right side
    692.57x = 449,599.47
  5. Step 5: Solve for x
    x = 449,599.47/692.57
  6. Step 6: Final answer
    x = 649.18

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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.