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Finding the Fourth Proportional to 384.62, 577.08 and 202.14

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Solution

The fourth proportional to 384.62, 577.08 and 202.14 is: 303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.62 : 577.08 = 202.14 : x
  2. Step 2: Convert to fraction form
    384.62/577.08 = 202.14/x
  3. Step 3: Cross multiply
    384.62x = 577.08 × 202.14
  4. Step 4: Simplify right side
    384.62x = 116,650.95
  5. Step 5: Solve for x
    x = 116,650.95/384.62
  6. Step 6: Final answer
    x = 303.29

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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.