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Finding the Fourth Proportional to 440, 607.50 and 292.80

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Solution

The fourth proportional to 440, 607.50 and 292.80 is: 404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 607.50 = 292.80 : x
  2. Step 2: Convert to fraction form
    440/607.50 = 292.80/x
  3. Step 3: Cross multiply
    440x = 607.50 × 292.80
  4. Step 4: Simplify right side
    440x = 177,876
  5. Step 5: Solve for x
    x = 177,876/440
  6. Step 6: Final answer
    x = 404.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.