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Finding the Fourth Proportional to 461.54, 692.18 and 380.18

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Solution

The fourth proportional to 461.54, 692.18 and 380.18 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 692.18 = 380.18 : x
  2. Step 2: Convert to fraction form
    461.54/692.18 = 380.18/x
  3. Step 3: Cross multiply
    461.54x = 692.18 × 380.18
  4. Step 4: Simplify right side
    461.54x = 263,151.09
  5. Step 5: Solve for x
    x = 263,151.09/461.54
  6. Step 6: Final answer
    x = 570.16

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Why These Related Problems?

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