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Finding the Fourth Proportional to 495.35, 683.45 and 298.90

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Solution

The fourth proportional to 495.35, 683.45 and 298.90 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 683.45 = 298.90 : x
  2. Step 2: Convert to fraction form
    495.35/683.45 = 298.90/x
  3. Step 3: Cross multiply
    495.35x = 683.45 × 298.90
  4. Step 4: Simplify right side
    495.35x = 204,283.21
  5. Step 5: Solve for x
    x = 204,283.21/495.35
  6. Step 6: Final answer
    x = 412.40

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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.