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Finding the Fourth Proportional to 385.10, 577.83 and 202.64

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Solution

The fourth proportional to 385.10, 577.83 and 202.64 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 577.83 = 202.64 : x
  2. Step 2: Convert to fraction form
    385.10/577.83 = 202.64/x
  3. Step 3: Cross multiply
    385.10x = 577.83 × 202.64
  4. Step 4: Simplify right side
    385.10x = 117,091.47
  5. Step 5: Solve for x
    x = 117,091.47/385.10
  6. Step 6: Final answer
    x = 304.05

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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.