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Finding the Fourth Proportional to 465.76, 643.44 and 408.16

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Solution

The fourth proportional to 465.76, 643.44 and 408.16 is: 563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 643.44 = 408.16 : x
  2. Step 2: Convert to fraction form
    465.76/643.44 = 408.16/x
  3. Step 3: Cross multiply
    465.76x = 643.44 × 408.16
  4. Step 4: Simplify right side
    465.76x = 262,626.47
  5. Step 5: Solve for x
    x = 262,626.47/465.76
  6. Step 6: Final answer
    x = 563.87

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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.