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Finding the Fourth Proportional to 536.32, 803.58 and 475.12

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Solution

The fourth proportional to 536.32, 803.58 and 475.12 is: 711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 803.58 = 475.12 : x
  2. Step 2: Convert to fraction form
    536.32/803.58 = 475.12/x
  3. Step 3: Cross multiply
    536.32x = 803.58 × 475.12
  4. Step 4: Simplify right side
    536.32x = 381,796.93
  5. Step 5: Solve for x
    x = 381,796.93/536.32
  6. Step 6: Final answer
    x = 711.88

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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.