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Finding the Fourth Proportional to 495.62, 683.78 and 382.10

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Solution

The fourth proportional to 495.62, 683.78 and 382.10 is: 527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.62 : 683.78 = 382.10 : x
  2. Step 2: Convert to fraction form
    495.62/683.78 = 382.10/x
  3. Step 3: Cross multiply
    495.62x = 683.78 × 382.10
  4. Step 4: Simplify right side
    495.62x = 261,267.01
  5. Step 5: Solve for x
    x = 261,267.01/495.62
  6. Step 6: Final answer
    x = 527.16

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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.