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Finding the Fourth Proportional to 385.30, 577.34 and 308.76

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Solution

The fourth proportional to 385.30, 577.34 and 308.76 is: 462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 577.34 = 308.76 : x
  2. Step 2: Convert to fraction form
    385.30/577.34 = 308.76/x
  3. Step 3: Cross multiply
    385.30x = 577.34 × 308.76
  4. Step 4: Simplify right side
    385.30x = 178,259.50
  5. Step 5: Solve for x
    x = 178,259.50/385.30
  6. Step 6: Final answer
    x = 462.65

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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.