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Finding the Fourth Proportional to 504.95, 758.96 and 494.19

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Solution

The fourth proportional to 504.95, 758.96 and 494.19 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.95 : 758.96 = 494.19 : x
  2. Step 2: Convert to fraction form
    504.95/758.96 = 494.19/x
  3. Step 3: Cross multiply
    504.95x = 758.96 × 494.19
  4. Step 4: Simplify right side
    504.95x = 375,066.65
  5. Step 5: Solve for x
    x = 375,066.65/504.95
  6. Step 6: Final answer
    x = 742.78

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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.