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Finding the Fourth Proportional to 385.29, 531.56 and 296.79

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Solution

The fourth proportional to 385.29, 531.56 and 296.79 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.29 : 531.56 = 296.79 : x
  2. Step 2: Convert to fraction form
    385.29/531.56 = 296.79/x
  3. Step 3: Cross multiply
    385.29x = 531.56 × 296.79
  4. Step 4: Simplify right side
    385.29x = 157,760.21
  5. Step 5: Solve for x
    x = 157,760.21/385.29
  6. Step 6: Final answer
    x = 409.46

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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.