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Finding the Fourth Proportional to 493.85, 740.54 and 185.70

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Solution

The fourth proportional to 493.85, 740.54 and 185.70 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.85 : 740.54 = 185.70 : x
  2. Step 2: Convert to fraction form
    493.85/740.54 = 185.70/x
  3. Step 3: Cross multiply
    493.85x = 740.54 × 185.70
  4. Step 4: Simplify right side
    493.85x = 137,518.28
  5. Step 5: Solve for x
    x = 137,518.28/493.85
  6. Step 6: Final answer
    x = 278.46

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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.