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Finding the Fourth Proportional to 558.42, 770.51 and 359.31

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Solution

The fourth proportional to 558.42, 770.51 and 359.31 is: 495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 770.51 = 359.31 : x
  2. Step 2: Convert to fraction form
    558.42/770.51 = 359.31/x
  3. Step 3: Cross multiply
    558.42x = 770.51 × 359.31
  4. Step 4: Simplify right side
    558.42x = 276,855.74
  5. Step 5: Solve for x
    x = 276,855.74/558.42
  6. Step 6: Final answer
    x = 495.78

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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.