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Finding the Fourth Proportional to 615.57, 923.46 and 307.37

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Solution

The fourth proportional to 615.57, 923.46 and 307.37 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.57 : 923.46 = 307.37 : x
  2. Step 2: Convert to fraction form
    615.57/923.46 = 307.37/x
  3. Step 3: Cross multiply
    615.57x = 923.46 × 307.37
  4. Step 4: Simplify right side
    615.57x = 283,839.28
  5. Step 5: Solve for x
    x = 283,839.28/615.57
  6. Step 6: Final answer
    x = 461.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.