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Finding the Fourth Proportional to 427.56, 642.15 and 366

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Solution

The fourth proportional to 427.56, 642.15 and 366 is: 549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 642.15 = 366 : x
  2. Step 2: Convert to fraction form
    427.56/642.15 = 366/x
  3. Step 3: Cross multiply
    427.56x = 642.15 × 366
  4. Step 4: Simplify right side
    427.56x = 235,026.90
  5. Step 5: Solve for x
    x = 235,026.90/427.56
  6. Step 6: Final answer
    x = 549.69

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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.