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Finding the Fourth Proportional to 688.01, 949.47 and 389.23

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Solution

The fourth proportional to 688.01, 949.47 and 389.23 is: 537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 949.47 = 389.23 : x
  2. Step 2: Convert to fraction form
    688.01/949.47 = 389.23/x
  3. Step 3: Cross multiply
    688.01x = 949.47 × 389.23
  4. Step 4: Simplify right side
    688.01x = 369,562.21
  5. Step 5: Solve for x
    x = 369,562.21/688.01
  6. Step 6: Final answer
    x = 537.15

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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.