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Finding the Fourth Proportional to 536.32, 804.16 and 305.28

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Solution

The fourth proportional to 536.32, 804.16 and 305.28 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 804.16 = 305.28 : x
  2. Step 2: Convert to fraction form
    536.32/804.16 = 305.28/x
  3. Step 3: Cross multiply
    536.32x = 804.16 × 305.28
  4. Step 4: Simplify right side
    536.32x = 245,493.96
  5. Step 5: Solve for x
    x = 245,493.96/536.32
  6. Step 6: Final answer
    x = 457.74

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Why These Related Problems?

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