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Finding the Fourth Proportional to 661.89, 913.44 and 440.70

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Solution

The fourth proportional to 661.89, 913.44 and 440.70 is: 608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.89 : 913.44 = 440.70 : x
  2. Step 2: Convert to fraction form
    661.89/913.44 = 440.70/x
  3. Step 3: Cross multiply
    661.89x = 913.44 × 440.70
  4. Step 4: Simplify right side
    661.89x = 402,553.01
  5. Step 5: Solve for x
    x = 402,553.01/661.89
  6. Step 6: Final answer
    x = 608.19

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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.