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Finding the Fourth Proportional to 461.26, 692.33 and 307.30

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Solution

The fourth proportional to 461.26, 692.33 and 307.30 is: 461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.26 : 692.33 = 307.30 : x
  2. Step 2: Convert to fraction form
    461.26/692.33 = 307.30/x
  3. Step 3: Cross multiply
    461.26x = 692.33 × 307.30
  4. Step 4: Simplify right side
    461.26x = 212,750.51
  5. Step 5: Solve for x
    x = 212,750.51/461.26
  6. Step 6: Final answer
    x = 461.24

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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.