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Finding the Fourth Proportional to 661.91, 913.17 and 425.81

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Solution

The fourth proportional to 661.91, 913.17 and 425.81 is: 587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.91 : 913.17 = 425.81 : x
  2. Step 2: Convert to fraction form
    661.91/913.17 = 425.81/x
  3. Step 3: Cross multiply
    661.91x = 913.17 × 425.81
  4. Step 4: Simplify right side
    661.91x = 388,834.79
  5. Step 5: Solve for x
    x = 388,834.79/661.91
  6. Step 6: Final answer
    x = 587.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.