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Finding the Fourth Proportional to 536.28, 802.89 and 399.96

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Solution

The fourth proportional to 536.28, 802.89 and 399.96 is: 598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.28 : 802.89 = 399.96 : x
  2. Step 2: Convert to fraction form
    536.28/802.89 = 399.96/x
  3. Step 3: Cross multiply
    536.28x = 802.89 × 399.96
  4. Step 4: Simplify right side
    536.28x = 321,123.88
  5. Step 5: Solve for x
    x = 321,123.88/536.28
  6. Step 6: Final answer
    x = 598.80

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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.