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Finding the Fourth Proportional to 661.53, 912.78 and 399.56

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Solution

The fourth proportional to 661.53, 912.78 and 399.56 is: 551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.53 : 912.78 = 399.56 : x
  2. Step 2: Convert to fraction form
    661.53/912.78 = 399.56/x
  3. Step 3: Cross multiply
    661.53x = 912.78 × 399.56
  4. Step 4: Simplify right side
    661.53x = 364,710.38
  5. Step 5: Solve for x
    x = 364,710.38/661.53
  6. Step 6: Final answer
    x = 551.31

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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.