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Finding the Fourth Proportional to 661.33, 913.07 and 462.11

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Solution

The fourth proportional to 661.33, 913.07 and 462.11 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.33 : 913.07 = 462.11 : x
  2. Step 2: Convert to fraction form
    661.33/913.07 = 462.11/x
  3. Step 3: Cross multiply
    661.33x = 913.07 × 462.11
  4. Step 4: Simplify right side
    661.33x = 421,935.37
  5. Step 5: Solve for x
    x = 421,935.37/661.33
  6. Step 6: Final answer
    x = 638.01

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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.