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Finding the Fourth Proportional to 384.48, 576.96 and 202.08

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Solution

The fourth proportional to 384.48, 576.96 and 202.08 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.48 : 576.96 = 202.08 : x
  2. Step 2: Convert to fraction form
    384.48/576.96 = 202.08/x
  3. Step 3: Cross multiply
    384.48x = 576.96 × 202.08
  4. Step 4: Simplify right side
    384.48x = 116,592.08
  5. Step 5: Solve for x
    x = 116,592.08/384.48
  6. Step 6: Final answer
    x = 303.25

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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.