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Finding the Fourth Proportional to 494.20, 740.58 and 277.84

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Solution

The fourth proportional to 494.20, 740.58 and 277.84 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 740.58 = 277.84 : x
  2. Step 2: Convert to fraction form
    494.20/740.58 = 277.84/x
  3. Step 3: Cross multiply
    494.20x = 740.58 × 277.84
  4. Step 4: Simplify right side
    494.20x = 205,762.75
  5. Step 5: Solve for x
    x = 205,762.75/494.20
  6. Step 6: Final answer
    x = 416.36

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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.