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Finding the Fourth Proportional to 615.94, 924.14 and 251.03

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Solution

The fourth proportional to 615.94, 924.14 and 251.03 is: 376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.94 : 924.14 = 251.03 : x
  2. Step 2: Convert to fraction form
    615.94/924.14 = 251.03/x
  3. Step 3: Cross multiply
    615.94x = 924.14 × 251.03
  4. Step 4: Simplify right side
    615.94x = 231,989.80
  5. Step 5: Solve for x
    x = 231,989.80/615.94
  6. Step 6: Final answer
    x = 376.65

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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.