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Finding the Fourth Proportional to 495.34, 683.70 and 412.31

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Solution

The fourth proportional to 495.34, 683.70 and 412.31 is: 569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.34 : 683.70 = 412.31 : x
  2. Step 2: Convert to fraction form
    495.34/683.70 = 412.31/x
  3. Step 3: Cross multiply
    495.34x = 683.70 × 412.31
  4. Step 4: Simplify right side
    495.34x = 281,896.35
  5. Step 5: Solve for x
    x = 281,896.35/495.34
  6. Step 6: Final answer
    x = 569.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.