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Finding the Fourth Proportional to 461.55, 692.61 and 214.71

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Solution

The fourth proportional to 461.55, 692.61 and 214.71 is: 322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 692.61 = 214.71 : x
  2. Step 2: Convert to fraction form
    461.55/692.61 = 214.71/x
  3. Step 3: Cross multiply
    461.55x = 692.61 × 214.71
  4. Step 4: Simplify right side
    461.55x = 148,710.29
  5. Step 5: Solve for x
    x = 148,710.29/461.55
  6. Step 6: Final answer
    x = 322.20

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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.