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Finding the Fourth Proportional to 505.44, 698.63 and 358.43

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Solution

The fourth proportional to 505.44, 698.63 and 358.43 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 698.63 = 358.43 : x
  2. Step 2: Convert to fraction form
    505.44/698.63 = 358.43/x
  3. Step 3: Cross multiply
    505.44x = 698.63 × 358.43
  4. Step 4: Simplify right side
    505.44x = 250,404.67
  5. Step 5: Solve for x
    x = 250,404.67/505.44
  6. Step 6: Final answer
    x = 495.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.