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Finding the Fourth Proportional to 385.37, 531.76 and 245.24

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Solution

The fourth proportional to 385.37, 531.76 and 245.24 is: 338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.37 : 531.76 = 245.24 : x
  2. Step 2: Convert to fraction form
    385.37/531.76 = 245.24/x
  3. Step 3: Cross multiply
    385.37x = 531.76 × 245.24
  4. Step 4: Simplify right side
    385.37x = 130,407.60
  5. Step 5: Solve for x
    x = 130,407.60/385.37
  6. Step 6: Final answer
    x = 338.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.