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Finding the Fourth Proportional to 534.88, 737.40 and 357.85

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Solution

The fourth proportional to 534.88, 737.40 and 357.85 is: 493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.88 : 737.40 = 357.85 : x
  2. Step 2: Convert to fraction form
    534.88/737.40 = 357.85/x
  3. Step 3: Cross multiply
    534.88x = 737.40 × 357.85
  4. Step 4: Simplify right side
    534.88x = 263,874.90
  5. Step 5: Solve for x
    x = 263,874.90/534.88
  6. Step 6: Final answer
    x = 493.34

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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.