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Finding the Fourth Proportional to 536.72, 803.28 and 395.24

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Solution

The fourth proportional to 536.72, 803.28 and 395.24 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 803.28 = 395.24 : x
  2. Step 2: Convert to fraction form
    536.72/803.28 = 395.24/x
  3. Step 3: Cross multiply
    536.72x = 803.28 × 395.24
  4. Step 4: Simplify right side
    536.72x = 317,488.39
  5. Step 5: Solve for x
    x = 317,488.39/536.72
  6. Step 6: Final answer
    x = 591.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.