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Finding the Fourth Proportional to 534.86, 737.66 and 357.85

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Solution

The fourth proportional to 534.86, 737.66 and 357.85 is: 493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.86 : 737.66 = 357.85 : x
  2. Step 2: Convert to fraction form
    534.86/737.66 = 357.85/x
  3. Step 3: Cross multiply
    534.86x = 737.66 × 357.85
  4. Step 4: Simplify right side
    534.86x = 263,970.68
  5. Step 5: Solve for x
    x = 263,970.68/534.86
  6. Step 6: Final answer
    x = 493.54

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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.