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Finding the Fourth Proportional to 604.60, 906.90 and 410.20

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Solution

The fourth proportional to 604.60, 906.90 and 410.20 is: 615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 906.90 = 410.20 : x
  2. Step 2: Convert to fraction form
    604.60/906.90 = 410.20/x
  3. Step 3: Cross multiply
    604.60x = 906.90 × 410.20
  4. Step 4: Simplify right side
    604.60x = 372,010.38
  5. Step 5: Solve for x
    x = 372,010.38/604.60
  6. Step 6: Final answer
    x = 615.30

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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.