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Finding the Fourth Proportional to 385.54, 577.76 and 289.42

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Solution

The fourth proportional to 385.54, 577.76 and 289.42 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.54 : 577.76 = 289.42 : x
  2. Step 2: Convert to fraction form
    385.54/577.76 = 289.42/x
  3. Step 3: Cross multiply
    385.54x = 577.76 × 289.42
  4. Step 4: Simplify right side
    385.54x = 167,215.30
  5. Step 5: Solve for x
    x = 167,215.30/385.54
  6. Step 6: Final answer
    x = 433.72

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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.