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Finding the Fourth Proportional to 461.47, 692.67 and 375.82

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Solution

The fourth proportional to 461.47, 692.67 and 375.82 is: 564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 692.67 = 375.82 : x
  2. Step 2: Convert to fraction form
    461.47/692.67 = 375.82/x
  3. Step 3: Cross multiply
    461.47x = 692.67 × 375.82
  4. Step 4: Simplify right side
    461.47x = 260,319.24
  5. Step 5: Solve for x
    x = 260,319.24/461.47
  6. Step 6: Final answer
    x = 564.11

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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.