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Finding the Fourth Proportional to 615.60, 922.47 and 409.43

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Solution

The fourth proportional to 615.60, 922.47 and 409.43 is: 613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.60 : 922.47 = 409.43 : x
  2. Step 2: Convert to fraction form
    615.60/922.47 = 409.43/x
  3. Step 3: Cross multiply
    615.60x = 922.47 × 409.43
  4. Step 4: Simplify right side
    615.60x = 377,686.89
  5. Step 5: Solve for x
    x = 377,686.89/615.60
  6. Step 6: Final answer
    x = 613.53

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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.