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Finding the Fourth Proportional to 688.01, 949.00 and 408.03

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Solution

The fourth proportional to 688.01, 949.00 and 408.03 is: 562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 949.00 = 408.03 : x
  2. Step 2: Convert to fraction form
    688.01/949.00 = 408.03/x
  3. Step 3: Cross multiply
    688.01x = 949.00 × 408.03
  4. Step 4: Simplify right side
    688.01x = 387,219.45
  5. Step 5: Solve for x
    x = 387,219.45/688.01
  6. Step 6: Final answer
    x = 562.81

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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.