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Finding the Fourth Proportional to 661.71, 913.06 and 381.83

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Solution

The fourth proportional to 661.71, 913.06 and 381.83 is: 526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.71 : 913.06 = 381.83 : x
  2. Step 2: Convert to fraction form
    661.71/913.06 = 381.83/x
  3. Step 3: Cross multiply
    661.71x = 913.06 × 381.83
  4. Step 4: Simplify right side
    661.71x = 348,633.70
  5. Step 5: Solve for x
    x = 348,633.70/661.71
  6. Step 6: Final answer
    x = 526.87

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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.