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Finding the Fourth Proportional to 535.98, 802.44 and 484.72

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Solution

The fourth proportional to 535.98, 802.44 and 484.72 is: 725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.98 : 802.44 = 484.72 : x
  2. Step 2: Convert to fraction form
    535.98/802.44 = 484.72/x
  3. Step 3: Cross multiply
    535.98x = 802.44 × 484.72
  4. Step 4: Simplify right side
    535.98x = 388,958.72
  5. Step 5: Solve for x
    x = 388,958.72/535.98
  6. Step 6: Final answer
    x = 725.70

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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.