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Finding the Fourth Proportional to 378.65, 525.20 and 364.82

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Solution

The fourth proportional to 378.65, 525.20 and 364.82 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 525.20 = 364.82 : x
  2. Step 2: Convert to fraction form
    378.65/525.20 = 364.82/x
  3. Step 3: Cross multiply
    378.65x = 525.20 × 364.82
  4. Step 4: Simplify right side
    378.65x = 191,599.01
  5. Step 5: Solve for x
    x = 191,599.01/378.65
  6. Step 6: Final answer
    x = 506.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.