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Finding the Fourth Proportional to 385.02, 577.13 and 202.22

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Solution

The fourth proportional to 385.02, 577.13 and 202.22 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 577.13 = 202.22 : x
  2. Step 2: Convert to fraction form
    385.02/577.13 = 202.22/x
  3. Step 3: Cross multiply
    385.02x = 577.13 × 202.22
  4. Step 4: Simplify right side
    385.02x = 116,707.23
  5. Step 5: Solve for x
    x = 116,707.23/385.02
  6. Step 6: Final answer
    x = 303.12

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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.