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Finding the Fourth Proportional to 419.44, 578.76 and 264.40

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Solution

The fourth proportional to 419.44, 578.76 and 264.40 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.44 : 578.76 = 264.40 : x
  2. Step 2: Convert to fraction form
    419.44/578.76 = 264.40/x
  3. Step 3: Cross multiply
    419.44x = 578.76 × 264.40
  4. Step 4: Simplify right side
    419.44x = 153,024.14
  5. Step 5: Solve for x
    x = 153,024.14/419.44
  6. Step 6: Final answer
    x = 364.83

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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.