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Finding the Fourth Proportional to 465.24, 641.16 and 406.11

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Solution

The fourth proportional to 465.24, 641.16 and 406.11 is: 559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 641.16 = 406.11 : x
  2. Step 2: Convert to fraction form
    465.24/641.16 = 406.11/x
  3. Step 3: Cross multiply
    465.24x = 641.16 × 406.11
  4. Step 4: Simplify right side
    465.24x = 260,381.49
  5. Step 5: Solve for x
    x = 260,381.49/465.24
  6. Step 6: Final answer
    x = 559.67

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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.