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Finding the Fourth Proportional to 461.63, 692.45 and 370.21

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Solution

The fourth proportional to 461.63, 692.45 and 370.21 is: 555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 692.45 = 370.21 : x
  2. Step 2: Convert to fraction form
    461.63/692.45 = 370.21/x
  3. Step 3: Cross multiply
    461.63x = 692.45 × 370.21
  4. Step 4: Simplify right side
    461.63x = 256,351.91
  5. Step 5: Solve for x
    x = 256,351.91/461.63
  6. Step 6: Final answer
    x = 555.32

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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.