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Finding the Fourth Proportional to 535.36, 802.96 and 242.85

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Solution

The fourth proportional to 535.36, 802.96 and 242.85 is: 364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 802.96 = 242.85 : x
  2. Step 2: Convert to fraction form
    535.36/802.96 = 242.85/x
  3. Step 3: Cross multiply
    535.36x = 802.96 × 242.85
  4. Step 4: Simplify right side
    535.36x = 194,998.09
  5. Step 5: Solve for x
    x = 194,998.09/535.36
  6. Step 6: Final answer
    x = 364.24

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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.