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Finding the Fourth Proportional to 615.58, 923.73 and 566.62

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Solution

The fourth proportional to 615.58, 923.73 and 566.62 is: 850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.58 : 923.73 = 566.62 : x
  2. Step 2: Convert to fraction form
    615.58/923.73 = 566.62/x
  3. Step 3: Cross multiply
    615.58x = 923.73 × 566.62
  4. Step 4: Simplify right side
    615.58x = 523,403.89
  5. Step 5: Solve for x
    x = 523,403.89/615.58
  6. Step 6: Final answer
    x = 850.26

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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.