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Finding the Fourth Proportional to 624.80, 937.20 and 461.60

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Solution

The fourth proportional to 624.80, 937.20 and 461.60 is: 692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 937.20 = 461.60 : x
  2. Step 2: Convert to fraction form
    624.80/937.20 = 461.60/x
  3. Step 3: Cross multiply
    624.80x = 937.20 × 461.60
  4. Step 4: Simplify right side
    624.80x = 432,611.52
  5. Step 5: Solve for x
    x = 432,611.52/624.80
  6. Step 6: Final answer
    x = 692.40

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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.