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Finding the Fourth Proportional to 590.68, 883.86 and 494.56

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Solution

The fourth proportional to 590.68, 883.86 and 494.56 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.68 : 883.86 = 494.56 : x
  2. Step 2: Convert to fraction form
    590.68/883.86 = 494.56/x
  3. Step 3: Cross multiply
    590.68x = 883.86 × 494.56
  4. Step 4: Simplify right side
    590.68x = 437,121.80
  5. Step 5: Solve for x
    x = 437,121.80/590.68
  6. Step 6: Final answer
    x = 740.03

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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.