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Finding the Fourth Proportional to 380.80, 525.72 and 264.16

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Solution

The fourth proportional to 380.80, 525.72 and 264.16 is: 364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 525.72 = 264.16 : x
  2. Step 2: Convert to fraction form
    380.80/525.72 = 264.16/x
  3. Step 3: Cross multiply
    380.80x = 525.72 × 264.16
  4. Step 4: Simplify right side
    380.80x = 138,874.20
  5. Step 5: Solve for x
    x = 138,874.20/380.80
  6. Step 6: Final answer
    x = 364.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.