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Finding the Fourth Proportional to 465.75, 642.87 and 410.67

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Solution

The fourth proportional to 465.75, 642.87 and 410.67 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 642.87 = 410.67 : x
  2. Step 2: Convert to fraction form
    465.75/642.87 = 410.67/x
  3. Step 3: Cross multiply
    465.75x = 642.87 × 410.67
  4. Step 4: Simplify right side
    465.75x = 264,007.42
  5. Step 5: Solve for x
    x = 264,007.42/465.75
  6. Step 6: Final answer
    x = 566.84

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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.