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Finding the Fourth Proportional to 536.32, 804 and 353.92

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Solution

The fourth proportional to 536.32, 804 and 353.92 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 804 = 353.92 : x
  2. Step 2: Convert to fraction form
    536.32/804 = 353.92/x
  3. Step 3: Cross multiply
    536.32x = 804 × 353.92
  4. Step 4: Simplify right side
    536.32x = 284,551.68
  5. Step 5: Solve for x
    x = 284,551.68/536.32
  6. Step 6: Final answer
    x = 530.56

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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.