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Finding the Fourth Proportional to 378.05, 566.27 and 305.15

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Solution

The fourth proportional to 378.05, 566.27 and 305.15 is: 457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 566.27 = 305.15 : x
  2. Step 2: Convert to fraction form
    378.05/566.27 = 305.15/x
  3. Step 3: Cross multiply
    378.05x = 566.27 × 305.15
  4. Step 4: Simplify right side
    378.05x = 172,795.76
  5. Step 5: Solve for x
    x = 172,795.76/378.05
  6. Step 6: Final answer
    x = 457.07

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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.