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Finding the Fourth Proportional to 615.15, 923.40 and 384.30

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Solution

The fourth proportional to 615.15, 923.40 and 384.30 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.15 : 923.40 = 384.30 : x
  2. Step 2: Convert to fraction form
    615.15/923.40 = 384.30/x
  3. Step 3: Cross multiply
    615.15x = 923.40 × 384.30
  4. Step 4: Simplify right side
    615.15x = 354,862.62
  5. Step 5: Solve for x
    x = 354,862.62/615.15
  6. Step 6: Final answer
    x = 576.87

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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.