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Finding the Fourth Proportional to 493.87, 740.13 and 385.69

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Solution

The fourth proportional to 493.87, 740.13 and 385.69 is: 578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.87 : 740.13 = 385.69 : x
  2. Step 2: Convert to fraction form
    493.87/740.13 = 385.69/x
  3. Step 3: Cross multiply
    493.87x = 740.13 × 385.69
  4. Step 4: Simplify right side
    493.87x = 285,460.74
  5. Step 5: Solve for x
    x = 285,460.74/493.87
  6. Step 6: Final answer
    x = 578.01

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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.