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Finding the Fourth Proportional to 384.96, 577.60 and 202.44

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Solution

The fourth proportional to 384.96, 577.60 and 202.44 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 577.60 = 202.44 : x
  2. Step 2: Convert to fraction form
    384.96/577.60 = 202.44/x
  3. Step 3: Cross multiply
    384.96x = 577.60 × 202.44
  4. Step 4: Simplify right side
    384.96x = 116,929.34
  5. Step 5: Solve for x
    x = 116,929.34/384.96
  6. Step 6: Final answer
    x = 303.74

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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.