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Finding the Fourth Proportional to 495.97, 683.53 and 356.10

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Solution

The fourth proportional to 495.97, 683.53 and 356.10 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.97 : 683.53 = 356.10 : x
  2. Step 2: Convert to fraction form
    495.97/683.53 = 356.10/x
  3. Step 3: Cross multiply
    495.97x = 683.53 × 356.10
  4. Step 4: Simplify right side
    495.97x = 243,405.03
  5. Step 5: Solve for x
    x = 243,405.03/495.97
  6. Step 6: Final answer
    x = 490.77

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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.