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Finding the Fourth Proportional to 493.55, 740.30 and 287.70

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Solution

The fourth proportional to 493.55, 740.30 and 287.70 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.55 : 740.30 = 287.70 : x
  2. Step 2: Convert to fraction form
    493.55/740.30 = 287.70/x
  3. Step 3: Cross multiply
    493.55x = 740.30 × 287.70
  4. Step 4: Simplify right side
    493.55x = 212,982.87
  5. Step 5: Solve for x
    x = 212,982.87/493.55
  6. Step 6: Final answer
    x = 431.54

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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.