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Finding the Fourth Proportional to 535.86, 738.45 and 380.34

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Solution

The fourth proportional to 535.86, 738.45 and 380.34 is: 524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 738.45 = 380.34 : x
  2. Step 2: Convert to fraction form
    535.86/738.45 = 380.34/x
  3. Step 3: Cross multiply
    535.86x = 738.45 × 380.34
  4. Step 4: Simplify right side
    535.86x = 280,862.07
  5. Step 5: Solve for x
    x = 280,862.07/535.86
  6. Step 6: Final answer
    x = 524.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.