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Finding the Fourth Proportional to 384.76, 576.64 and 269.04

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Solution

The fourth proportional to 384.76, 576.64 and 269.04 is: 403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 576.64 = 269.04 : x
  2. Step 2: Convert to fraction form
    384.76/576.64 = 269.04/x
  3. Step 3: Cross multiply
    384.76x = 576.64 × 269.04
  4. Step 4: Simplify right side
    384.76x = 155,139.23
  5. Step 5: Solve for x
    x = 155,139.23/384.76
  6. Step 6: Final answer
    x = 403.21

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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.