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Finding the Fourth Proportional to 646.10, 892.72 and 499.99

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Solution

The fourth proportional to 646.10, 892.72 and 499.99 is: 690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 892.72 = 499.99 : x
  2. Step 2: Convert to fraction form
    646.10/892.72 = 499.99/x
  3. Step 3: Cross multiply
    646.10x = 892.72 × 499.99
  4. Step 4: Simplify right side
    646.10x = 446,351.07
  5. Step 5: Solve for x
    x = 446,351.07/646.10
  6. Step 6: Final answer
    x = 690.84

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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.