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Finding the Fourth Proportional to 578.44, 865.14 and 334.36

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Solution

The fourth proportional to 578.44, 865.14 and 334.36 is: 500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.44 : 865.14 = 334.36 : x
  2. Step 2: Convert to fraction form
    578.44/865.14 = 334.36/x
  3. Step 3: Cross multiply
    578.44x = 865.14 × 334.36
  4. Step 4: Simplify right side
    578.44x = 289,268.21
  5. Step 5: Solve for x
    x = 289,268.21/578.44
  6. Step 6: Final answer
    x = 500.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.