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Finding the Fourth Proportional to 615.20, 923.21 and 461.30

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Solution

The fourth proportional to 615.20, 923.21 and 461.30 is: 692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.20 : 923.21 = 461.30 : x
  2. Step 2: Convert to fraction form
    615.20/923.21 = 461.30/x
  3. Step 3: Cross multiply
    615.20x = 923.21 × 461.30
  4. Step 4: Simplify right side
    615.20x = 425,874.47
  5. Step 5: Solve for x
    x = 425,874.47/615.20
  6. Step 6: Final answer
    x = 692.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.