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Finding the Fourth Proportional to 661.94, 913.74 and 440.82

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Solution

The fourth proportional to 661.94, 913.74 and 440.82 is: 608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.94 : 913.74 = 440.82 : x
  2. Step 2: Convert to fraction form
    661.94/913.74 = 440.82/x
  3. Step 3: Cross multiply
    661.94x = 913.74 × 440.82
  4. Step 4: Simplify right side
    661.94x = 402,794.87
  5. Step 5: Solve for x
    x = 402,794.87/661.94
  6. Step 6: Final answer
    x = 608.51

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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.