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Finding the Fourth Proportional to 378.09, 566.65 and 305.12

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Solution

The fourth proportional to 378.09, 566.65 and 305.12 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 566.65 = 305.12 : x
  2. Step 2: Convert to fraction form
    378.09/566.65 = 305.12/x
  3. Step 3: Cross multiply
    378.09x = 566.65 × 305.12
  4. Step 4: Simplify right side
    378.09x = 172,893.14
  5. Step 5: Solve for x
    x = 172,893.14/378.09
  6. Step 6: Final answer
    x = 457.28

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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.