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Finding the Fourth Proportional to 646.56, 892.32 and 499.12

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Solution

The fourth proportional to 646.56, 892.32 and 499.12 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 892.32 = 499.12 : x
  2. Step 2: Convert to fraction form
    646.56/892.32 = 499.12/x
  3. Step 3: Cross multiply
    646.56x = 892.32 × 499.12
  4. Step 4: Simplify right side
    646.56x = 445,374.76
  5. Step 5: Solve for x
    x = 445,374.76/646.56
  6. Step 6: Final answer
    x = 688.84

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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.