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Finding the Fourth Proportional to 661.07, 912.66 and 399.17

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Solution

The fourth proportional to 661.07, 912.66 and 399.17 is: 551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.07 : 912.66 = 399.17 : x
  2. Step 2: Convert to fraction form
    661.07/912.66 = 399.17/x
  3. Step 3: Cross multiply
    661.07x = 912.66 × 399.17
  4. Step 4: Simplify right side
    661.07x = 364,306.49
  5. Step 5: Solve for x
    x = 364,306.49/661.07
  6. Step 6: Final answer
    x = 551.09

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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.