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Finding the Fourth Proportional to 387.12, 536.34 and 379.80

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Solution

The fourth proportional to 387.12, 536.34 and 379.80 is: 526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.12 : 536.34 = 379.80 : x
  2. Step 2: Convert to fraction form
    387.12/536.34 = 379.80/x
  3. Step 3: Cross multiply
    387.12x = 536.34 × 379.80
  4. Step 4: Simplify right side
    387.12x = 203,701.93
  5. Step 5: Solve for x
    x = 203,701.93/387.12
  6. Step 6: Final answer
    x = 526.20

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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.