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Finding the Fourth Proportional to 495.92, 684.32 and 411.16

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Solution

The fourth proportional to 495.92, 684.32 and 411.16 is: 567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 684.32 = 411.16 : x
  2. Step 2: Convert to fraction form
    495.92/684.32 = 411.16/x
  3. Step 3: Cross multiply
    495.92x = 684.32 × 411.16
  4. Step 4: Simplify right side
    495.92x = 281,365.01
  5. Step 5: Solve for x
    x = 281,365.01/495.92
  6. Step 6: Final answer
    x = 567.36

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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.