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Finding the Fourth Proportional to 384.93, 576.78 and 202.14

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Solution

The fourth proportional to 384.93, 576.78 and 202.14 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 576.78 = 202.14 : x
  2. Step 2: Convert to fraction form
    384.93/576.78 = 202.14/x
  3. Step 3: Cross multiply
    384.93x = 576.78 × 202.14
  4. Step 4: Simplify right side
    384.93x = 116,590.31
  5. Step 5: Solve for x
    x = 116,590.31/384.93
  6. Step 6: Final answer
    x = 302.89

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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.