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Finding the Fourth Proportional to 688.47, 950.49 and 440.00

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Solution

The fourth proportional to 688.47, 950.49 and 440.00 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.47 : 950.49 = 440.00 : x
  2. Step 2: Convert to fraction form
    688.47/950.49 = 440.00/x
  3. Step 3: Cross multiply
    688.47x = 950.49 × 440.00
  4. Step 4: Simplify right side
    688.47x = 418,214.41
  5. Step 5: Solve for x
    x = 418,214.41/688.47
  6. Step 6: Final answer
    x = 607.46

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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.