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Finding the Fourth Proportional to 495.24, 683.54 and 412.12

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Solution

The fourth proportional to 495.24, 683.54 and 412.12 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 683.54 = 412.12 : x
  2. Step 2: Convert to fraction form
    495.24/683.54 = 412.12/x
  3. Step 3: Cross multiply
    495.24x = 683.54 × 412.12
  4. Step 4: Simplify right side
    495.24x = 281,700.50
  5. Step 5: Solve for x
    x = 281,700.50/495.24
  6. Step 6: Final answer
    x = 568.82

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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.