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Finding the Fourth Proportional to 661.51, 913.40 and 531.10

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Solution

The fourth proportional to 661.51, 913.40 and 531.10 is: 733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.51 : 913.40 = 531.10 : x
  2. Step 2: Convert to fraction form
    661.51/913.40 = 531.10/x
  3. Step 3: Cross multiply
    661.51x = 913.40 × 531.10
  4. Step 4: Simplify right side
    661.51x = 485,105.78
  5. Step 5: Solve for x
    x = 485,105.78/661.51
  6. Step 6: Final answer
    x = 733.33

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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.