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Finding the Fourth Proportional to 534.86, 738.23 and 357.84

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Solution

The fourth proportional to 534.86, 738.23 and 357.84 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.86 : 738.23 = 357.84 : x
  2. Step 2: Convert to fraction form
    534.86/738.23 = 357.84/x
  3. Step 3: Cross multiply
    534.86x = 738.23 × 357.84
  4. Step 4: Simplify right side
    534.86x = 264,166.43
  5. Step 5: Solve for x
    x = 264,166.43/534.86
  6. Step 6: Final answer
    x = 493.90

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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.