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Finding the Fourth Proportional to 461.29, 692.64 and 397.00

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Solution

The fourth proportional to 461.29, 692.64 and 397.00 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.29 : 692.64 = 397.00 : x
  2. Step 2: Convert to fraction form
    461.29/692.64 = 397.00/x
  3. Step 3: Cross multiply
    461.29x = 692.64 × 397.00
  4. Step 4: Simplify right side
    461.29x = 274,975.36
  5. Step 5: Solve for x
    x = 274,975.36/461.29
  6. Step 6: Final answer
    x = 596.10

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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.