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Finding the Fourth Proportional to 468.82, 645.46 and 410.56

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Solution

The fourth proportional to 468.82, 645.46 and 410.56 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.82 : 645.46 = 410.56 : x
  2. Step 2: Convert to fraction form
    468.82/645.46 = 410.56/x
  3. Step 3: Cross multiply
    468.82x = 645.46 × 410.56
  4. Step 4: Simplify right side
    468.82x = 265,000.06
  5. Step 5: Solve for x
    x = 265,000.06/468.82
  6. Step 6: Final answer
    x = 565.25

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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.