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Finding the Fourth Proportional to 649.08, 896.04 and 498.48

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Solution

The fourth proportional to 649.08, 896.04 and 498.48 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.08 : 896.04 = 498.48 : x
  2. Step 2: Convert to fraction form
    649.08/896.04 = 498.48/x
  3. Step 3: Cross multiply
    649.08x = 896.04 × 498.48
  4. Step 4: Simplify right side
    649.08x = 446,658.02
  5. Step 5: Solve for x
    x = 446,658.02/649.08
  6. Step 6: Final answer
    x = 688.14

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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.