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Finding the Fourth Proportional to 688.32, 950.01 and 439.74

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Solution

The fourth proportional to 688.32, 950.01 and 439.74 is: 606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 950.01 = 439.74 : x
  2. Step 2: Convert to fraction form
    688.32/950.01 = 439.74/x
  3. Step 3: Cross multiply
    688.32x = 950.01 × 439.74
  4. Step 4: Simplify right side
    688.32x = 417,757.40
  5. Step 5: Solve for x
    x = 417,757.40/688.32
  6. Step 6: Final answer
    x = 606.92

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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.