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Finding the Fourth Proportional to 649.16, 894.81 and 498.10

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Solution

The fourth proportional to 649.16, 894.81 and 498.10 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.16 : 894.81 = 498.10 : x
  2. Step 2: Convert to fraction form
    649.16/894.81 = 498.10/x
  3. Step 3: Cross multiply
    649.16x = 894.81 × 498.10
  4. Step 4: Simplify right side
    649.16x = 445,704.86
  5. Step 5: Solve for x
    x = 445,704.86/649.16
  6. Step 6: Final answer
    x = 686.59

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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.