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Finding the Fourth Proportional to 495.06, 683.25 and 412.03

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Solution

The fourth proportional to 495.06, 683.25 and 412.03 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.06 : 683.25 = 412.03 : x
  2. Step 2: Convert to fraction form
    495.06/683.25 = 412.03/x
  3. Step 3: Cross multiply
    495.06x = 683.25 × 412.03
  4. Step 4: Simplify right side
    495.06x = 281,519.50
  5. Step 5: Solve for x
    x = 281,519.50/495.06
  6. Step 6: Final answer
    x = 568.66

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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.