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Finding the Fourth Proportional to 534.74, 737.64 and 357.82

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Solution

The fourth proportional to 534.74, 737.64 and 357.82 is: 493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 737.64 = 357.82 : x
  2. Step 2: Convert to fraction form
    534.74/737.64 = 357.82/x
  3. Step 3: Cross multiply
    534.74x = 737.64 × 357.82
  4. Step 4: Simplify right side
    534.74x = 263,940.50
  5. Step 5: Solve for x
    x = 263,940.50/534.74
  6. Step 6: Final answer
    x = 493.59

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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.