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Finding the Fourth Proportional to 419.56, 579 and 264.40

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Solution

The fourth proportional to 419.56, 579 and 264.40 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 579 = 264.40 : x
  2. Step 2: Convert to fraction form
    419.56/579 = 264.40/x
  3. Step 3: Cross multiply
    419.56x = 579 × 264.40
  4. Step 4: Simplify right side
    419.56x = 153,087.60
  5. Step 5: Solve for x
    x = 153,087.60/419.56
  6. Step 6: Final answer
    x = 364.88

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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.