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Finding the Fourth Proportional to 495.34, 683.80 and 309.08

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Solution

The fourth proportional to 495.34, 683.80 and 309.08 is: 426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.34 : 683.80 = 309.08 : x
  2. Step 2: Convert to fraction form
    495.34/683.80 = 309.08/x
  3. Step 3: Cross multiply
    495.34x = 683.80 × 309.08
  4. Step 4: Simplify right side
    495.34x = 211,348.90
  5. Step 5: Solve for x
    x = 211,348.90/495.34
  6. Step 6: Final answer
    x = 426.67

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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.