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Finding the Fourth Proportional to 463.26, 692.10 and 345.60

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Solution

The fourth proportional to 463.26, 692.10 and 345.60 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.26 : 692.10 = 345.60 : x
  2. Step 2: Convert to fraction form
    463.26/692.10 = 345.60/x
  3. Step 3: Cross multiply
    463.26x = 692.10 × 345.60
  4. Step 4: Simplify right side
    463.26x = 239,189.76
  5. Step 5: Solve for x
    x = 239,189.76/463.26
  6. Step 6: Final answer
    x = 516.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.