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Finding the Fourth Proportional to 661.68, 913.23 and 495.63

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Solution

The fourth proportional to 661.68, 913.23 and 495.63 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.68 : 913.23 = 495.63 : x
  2. Step 2: Convert to fraction form
    661.68/913.23 = 495.63/x
  3. Step 3: Cross multiply
    661.68x = 913.23 × 495.63
  4. Step 4: Simplify right side
    661.68x = 452,624.18
  5. Step 5: Solve for x
    x = 452,624.18/661.68
  6. Step 6: Final answer
    x = 684.05

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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.