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Finding the Fourth Proportional to 535.33, 802.95 and 523.18

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Solution

The fourth proportional to 535.33, 802.95 and 523.18 is: 784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.33 : 802.95 = 523.18 : x
  2. Step 2: Convert to fraction form
    535.33/802.95 = 523.18/x
  3. Step 3: Cross multiply
    535.33x = 802.95 × 523.18
  4. Step 4: Simplify right side
    535.33x = 420,087.38
  5. Step 5: Solve for x
    x = 420,087.38/535.33
  6. Step 6: Final answer
    x = 784.73

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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.