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Finding the Fourth Proportional to 661.84, 913.40 and 399.80

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Solution

The fourth proportional to 661.84, 913.40 and 399.80 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.84 : 913.40 = 399.80 : x
  2. Step 2: Convert to fraction form
    661.84/913.40 = 399.80/x
  3. Step 3: Cross multiply
    661.84x = 913.40 × 399.80
  4. Step 4: Simplify right side
    661.84x = 365,179.10
  5. Step 5: Solve for x
    x = 365,179.10/661.84
  6. Step 6: Final answer
    x = 551.77

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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.