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Finding the Fourth Proportional to 535.80, 802.02 and 500.28

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Solution

The fourth proportional to 535.80, 802.02 and 500.28 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 802.02 = 500.28 : x
  2. Step 2: Convert to fraction form
    535.80/802.02 = 500.28/x
  3. Step 3: Cross multiply
    535.80x = 802.02 × 500.28
  4. Step 4: Simplify right side
    535.80x = 401,234.57
  5. Step 5: Solve for x
    x = 401,234.57/535.80
  6. Step 6: Final answer
    x = 748.85

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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.