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Finding the Fourth Proportional to 535.86, 804.46 and 354.42

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Solution

The fourth proportional to 535.86, 804.46 and 354.42 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 804.46 = 354.42 : x
  2. Step 2: Convert to fraction form
    535.86/804.46 = 354.42/x
  3. Step 3: Cross multiply
    535.86x = 804.46 × 354.42
  4. Step 4: Simplify right side
    535.86x = 285,116.71
  5. Step 5: Solve for x
    x = 285,116.71/535.86
  6. Step 6: Final answer
    x = 532.07

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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.