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Finding the Fourth Proportional to 384.57, 577.17 and 202.14

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Solution

The fourth proportional to 384.57, 577.17 and 202.14 is: 303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.57 : 577.17 = 202.14 : x
  2. Step 2: Convert to fraction form
    384.57/577.17 = 202.14/x
  3. Step 3: Cross multiply
    384.57x = 577.17 × 202.14
  4. Step 4: Simplify right side
    384.57x = 116,669.14
  5. Step 5: Solve for x
    x = 116,669.14/384.57
  6. Step 6: Final answer
    x = 303.38

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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.