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Finding the Fourth Proportional to 535.50, 802.89 and 246.78

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Solution

The fourth proportional to 535.50, 802.89 and 246.78 is: 370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 802.89 = 246.78 : x
  2. Step 2: Convert to fraction form
    535.50/802.89 = 246.78/x
  3. Step 3: Cross multiply
    535.50x = 802.89 × 246.78
  4. Step 4: Simplify right side
    535.50x = 198,137.19
  5. Step 5: Solve for x
    x = 198,137.19/535.50
  6. Step 6: Final answer
    x = 370.00

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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.