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Finding the Fourth Proportional to 461.94, 692.51 and 397.01

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Solution

The fourth proportional to 461.94, 692.51 and 397.01 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 692.51 = 397.01 : x
  2. Step 2: Convert to fraction form
    461.94/692.51 = 397.01/x
  3. Step 3: Cross multiply
    461.94x = 692.51 × 397.01
  4. Step 4: Simplify right side
    461.94x = 274,927.95
  5. Step 5: Solve for x
    x = 274,927.95/461.94
  6. Step 6: Final answer
    x = 595.16

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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.