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Finding the Fourth Proportional to 461.87, 692.54 and 325.02

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Solution

The fourth proportional to 461.87, 692.54 and 325.02 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.87 : 692.54 = 325.02 : x
  2. Step 2: Convert to fraction form
    461.87/692.54 = 325.02/x
  3. Step 3: Cross multiply
    461.87x = 692.54 × 325.02
  4. Step 4: Simplify right side
    461.87x = 225,091.54
  5. Step 5: Solve for x
    x = 225,091.54/461.87
  6. Step 6: Final answer
    x = 487.35

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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.