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Finding the Fourth Proportional to 461.10, 692.00 and 314.50

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Solution

The fourth proportional to 461.10, 692.00 and 314.50 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 692.00 = 314.50 : x
  2. Step 2: Convert to fraction form
    461.10/692.00 = 314.50/x
  3. Step 3: Cross multiply
    461.10x = 692.00 × 314.50
  4. Step 4: Simplify right side
    461.10x = 217,635.47
  5. Step 5: Solve for x
    x = 217,635.47/461.10
  6. Step 6: Final answer
    x = 471.99

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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.