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Finding the Fourth Proportional to 661.14, 912.42 and 464.70

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Solution

The fourth proportional to 661.14, 912.42 and 464.70 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.14 : 912.42 = 464.70 : x
  2. Step 2: Convert to fraction form
    661.14/912.42 = 464.70/x
  3. Step 3: Cross multiply
    661.14x = 912.42 × 464.70
  4. Step 4: Simplify right side
    661.14x = 424,001.57
  5. Step 5: Solve for x
    x = 424,001.57/661.14
  6. Step 6: Final answer
    x = 641.32

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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.