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Finding the Fourth Proportional to 535.86, 802.80 and 414.06

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Solution

The fourth proportional to 535.86, 802.80 and 414.06 is: 620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 802.80 = 414.06 : x
  2. Step 2: Convert to fraction form
    535.86/802.80 = 414.06/x
  3. Step 3: Cross multiply
    535.86x = 802.80 × 414.06
  4. Step 4: Simplify right side
    535.86x = 332,407.37
  5. Step 5: Solve for x
    x = 332,407.37/535.86
  6. Step 6: Final answer
    x = 620.33

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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.