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Finding the Fourth Proportional to 536.72, 740.94 and 380.12

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Solution

The fourth proportional to 536.72, 740.94 and 380.12 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 740.94 = 380.12 : x
  2. Step 2: Convert to fraction form
    536.72/740.94 = 380.12/x
  3. Step 3: Cross multiply
    536.72x = 740.94 × 380.12
  4. Step 4: Simplify right side
    536.72x = 281,646.11
  5. Step 5: Solve for x
    x = 281,646.11/536.72
  6. Step 6: Final answer
    x = 524.75

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Why These Related Problems?

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