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Finding the Fourth Proportional to 493.28, 740.80 and 454.16

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Solution

The fourth proportional to 493.28, 740.80 and 454.16 is: 682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 740.80 = 454.16 : x
  2. Step 2: Convert to fraction form
    493.28/740.80 = 454.16/x
  3. Step 3: Cross multiply
    493.28x = 740.80 × 454.16
  4. Step 4: Simplify right side
    493.28x = 336,441.73
  5. Step 5: Solve for x
    x = 336,441.73/493.28
  6. Step 6: Final answer
    x = 682.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.