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Finding the Fourth Proportional to 411.10, 566.25 and 286.53

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Solution

The fourth proportional to 411.10, 566.25 and 286.53 is: 394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 566.25 = 286.53 : x
  2. Step 2: Convert to fraction form
    411.10/566.25 = 286.53/x
  3. Step 3: Cross multiply
    411.10x = 566.25 × 286.53
  4. Step 4: Simplify right side
    411.10x = 162,248.31
  5. Step 5: Solve for x
    x = 162,248.31/411.10
  6. Step 6: Final answer
    x = 394.67

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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.