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Finding the Fourth Proportional to 661.83, 913.25 and 382.07

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Solution

The fourth proportional to 661.83, 913.25 and 382.07 is: 527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.83 : 913.25 = 382.07 : x
  2. Step 2: Convert to fraction form
    661.83/913.25 = 382.07/x
  3. Step 3: Cross multiply
    661.83x = 913.25 × 382.07
  4. Step 4: Simplify right side
    661.83x = 348,919.91
  5. Step 5: Solve for x
    x = 348,919.91/661.83
  6. Step 6: Final answer
    x = 527.20

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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.