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Finding the Fourth Proportional to 661.20, 912.24 and 412.40

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Solution

The fourth proportional to 661.20, 912.24 and 412.40 is: 568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.20 : 912.24 = 412.40 : x
  2. Step 2: Convert to fraction form
    661.20/912.24 = 412.40/x
  3. Step 3: Cross multiply
    661.20x = 912.24 × 412.40
  4. Step 4: Simplify right side
    661.20x = 376,207.78
  5. Step 5: Solve for x
    x = 376,207.78/661.20
  6. Step 6: Final answer
    x = 568.98

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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.