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Finding the Fourth Proportional to 615.48, 923.04 and 384.72

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Solution

The fourth proportional to 615.48, 923.04 and 384.72 is: 576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.48 : 923.04 = 384.72 : x
  2. Step 2: Convert to fraction form
    615.48/923.04 = 384.72/x
  3. Step 3: Cross multiply
    615.48x = 923.04 × 384.72
  4. Step 4: Simplify right side
    615.48x = 355,111.95
  5. Step 5: Solve for x
    x = 355,111.95/615.48
  6. Step 6: Final answer
    x = 576.97

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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.