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Finding the Fourth Proportional to 431.60, 647.40 and 412.70

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Solution

The fourth proportional to 431.60, 647.40 and 412.70 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.60 : 647.40 = 412.70 : x
  2. Step 2: Convert to fraction form
    431.60/647.40 = 412.70/x
  3. Step 3: Cross multiply
    431.60x = 647.40 × 412.70
  4. Step 4: Simplify right side
    431.60x = 267,181.98
  5. Step 5: Solve for x
    x = 267,181.98/431.60
  6. Step 6: Final answer
    x = 619.05

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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.