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Finding the Fourth Proportional to 590.02, 884.56 and 293.34

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Solution

The fourth proportional to 590.02, 884.56 and 293.34 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.56 = 293.34 : x
  2. Step 2: Convert to fraction form
    590.02/884.56 = 293.34/x
  3. Step 3: Cross multiply
    590.02x = 884.56 × 293.34
  4. Step 4: Simplify right side
    590.02x = 259,476.83
  5. Step 5: Solve for x
    x = 259,476.83/590.02
  6. Step 6: Final answer
    x = 439.78

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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.