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Finding the Fourth Proportional to 649.10, 894.72 and 498.03

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Solution

The fourth proportional to 649.10, 894.72 and 498.03 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 894.72 = 498.03 : x
  2. Step 2: Convert to fraction form
    649.10/894.72 = 498.03/x
  3. Step 3: Cross multiply
    649.10x = 894.72 × 498.03
  4. Step 4: Simplify right side
    649.10x = 445,597.40
  5. Step 5: Solve for x
    x = 445,597.40/649.10
  6. Step 6: Final answer
    x = 686.48

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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.