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Finding the Fourth Proportional to 495.60, 683.28 and 411.36

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Solution

The fourth proportional to 495.60, 683.28 and 411.36 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 683.28 = 411.36 : x
  2. Step 2: Convert to fraction form
    495.60/683.28 = 411.36/x
  3. Step 3: Cross multiply
    495.60x = 683.28 × 411.36
  4. Step 4: Simplify right side
    495.60x = 281,074.06
  5. Step 5: Solve for x
    x = 281,074.06/495.60
  6. Step 6: Final answer
    x = 567.14

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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.